GCD of 314, 400, 971, 652 Calculator

Given Input numbers are 314, 400, 971, 652

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 314, 400, 971, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 400, 971, 652 is 1.

Therefore, GCD of numbers 314, 400, 971, 652 is 1

Given Input Data is 314, 400, 971, 652

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

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 971 is 971

Prime Factorization of 652 is 2 x 2 x 163

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(314, 400) = 62800

GCD(314, 400) = ( 314 x 400 ) / 62800

GCD(314, 400) = 125600 / 62800

GCD(314, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 314, 400, 971, 652 is 1

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1. What is the GCD of 314, 400, 971, 652?

GCD of 314, 400, 971, 652 is 1

2. Where do I get the detailed procedure to find GCD of 314, 400, 971, 652?

You can find a detailed procedure to find GCD of 314, 400, 971, 652 on our page.

3. How to find GCD of 314, 400, 971, 652 on a calculator?

You can find the GCD of 314, 400, 971, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.