GCD of 400, 152, 721, 936 Calculator

Given Input numbers are 400, 152, 721, 936

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 400, 152, 721, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 152, 721, 936 is 1.

Therefore, GCD of numbers 400, 152, 721, 936 is 1

Given Input Data is 400, 152, 721, 936

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 721 is 7 x 103

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(400, 152) = 7600

GCD(400, 152) = ( 400 x 152 ) / 7600

GCD(400, 152) = 60800 / 7600

GCD(400, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 721

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 721) = 5768

GCD(8, 721) = ( 8 x 721 ) / 5768

GCD(8, 721) = 5768 / 5768

GCD(8, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 400, 152, 721, 936 is 1

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1. What is the GCD of 400, 152, 721, 936?

GCD of 400, 152, 721, 936 is 1

2. Where do I get the detailed procedure to find GCD of 400, 152, 721, 936?

You can find a detailed procedure to find GCD of 400, 152, 721, 936 on our page.

3. How to find GCD of 400, 152, 721, 936 on a calculator?

You can find the GCD of 400, 152, 721, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.