Skip to main content

Greatest Common Divisor

                       The greatest common divisor (GCD) of two positive  integers  is the largest positive integer that divides the numbers without a remainder.
For example the GCD of 24 & 40 is 8
The Greatest Common Divisor (GCD) of two whole numbers also called the Greatest Common Factor (GCF)  & the Highest Common Factor (HCF).
There is a simple & systematic way of finding the GCD of two positive integers.That method is called “Euclid’s Algorithm”.  This algorithm finds GCD by performing  repeated divisions starting from the two numbers we want to find the GCD of until we get a remainder of 0.
•Divide the larger number by the smaller one and get the remainder
•If remainder is not zero, we divide the smaller number by the      remainder from the last division
•Repeat the above step until we get the remainder as zero
•The last divisor or number we used to divide is the GCD




To see the working of above flowchart, 
Click here to Watch on YouTube





To write the program in C,







To create the Greatest Common Divisor App,
Click here to Watch on YouTube





To Download the Greatest Common Divisor Android App

Comments

Popular posts from this blog

Fibonacci Sequence Flowchart

Fibonacci Sequence Flowchart In the previous video of Fibonacci sequence ,we learned about the Fibonacci series and how to write an algorithm. In this video we will learn how to draw a flowchart for it. First let us write an algorithm for it again. 0,1,1,2,3,5,8,13,21,34,55,89,… Step1: Input the number(n) till which the Fibonacci series will run Step2: Assign the variables a equal to -1 and b equal to 1 Step3: Add the variables a & b and assign it to variable x Step4: Display the value of x Step5: Assign the value of b to variable a Step6: Assign the value of x to variable b Step7: Subtract one from n and store it to variable n Step8: If the value of n is not zero, go back to the Step3 Step9: Fibonacci numbers displayed till n numbers. To see the working of above flowchart,  Click here to Watch on YouTube To write the program in C,   Click here to Watch on YouTube To make the Fibonacci Sequence  Android App in MI

Decimal Number to Binary Number

A Binary Number consists of  0 s & 1 s only (Two Digits)   whereas a  Decimal Number Consists of 0,1,2,3,4,5,6,7,8,9 (ten digits) .                   For Example ( 111 )2 is binary number equivalent to decimal number ( 7 )10.  A bit is a single Binary Digit. The binary number above has three bits. Algorithm Divide the dividend(number) by divisor 2 and get the remainder & the quotient. If the quotient is not zero, then quotient becomes dividend and follow above step. As quotient has now become zero, the binary number is all the remainders from bottom or from right side which consists of 0 & 1. Flowchart To see the working of above Flowchart Click here to watch it on YouTube

Prime Numbers

Prime Number is a natural number greater than 1 that has exactly two distinct natural number divisors: 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 13 can only be divided by 1 and  by 13 itself. Here is a list of all the prime numbers up to 100: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47, 53,59,61,67,71,73,79,83,89,97,.. 1 is not a prime number as in definition “For a number to be prime it must have two  d istinct (different) factors. Algorithm Step1: Input the number(n) to check for prime number Step2: If n is below or equal to 1  then go to step 12 Step3: if n is equal to 2 then go to step 11 Step4: Assign variable count =n / 2 Step5: Assign variable a=1 Step6: Add 1 to a and store it to variable a Step7: remainder = n % a Step8: if remainder=0 then go to step 12 Step9: subtract one from count and store it to variable count Step10: if count is not equal to 0 then go to step 6 Step11