GCD of 756, 430, 31, 640 Calculator

Given Input numbers are 756, 430, 31, 640

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 756, 430, 31, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 430, 31, 640 is 1.

Therefore, GCD of numbers 756, 430, 31, 640 is 1

Given Input Data is 756, 430, 31, 640

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 31 is 31

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(756, 430) = 162540

GCD(756, 430) = ( 756 x 430 ) / 162540

GCD(756, 430) = 325080 / 162540

GCD(756, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 756, 430, 31, 640 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 494, 18, 472
• GCD of 175, 510, 54, 731
• GCD of 747, 926, 79, 752
• GCD of 653, 929, 40, 697
• GCD of 195, 568, 73, 821

1. What is the GCD of 756, 430, 31, 640?

GCD of 756, 430, 31, 640 is 1

2. Where do I get the detailed procedure to find GCD of 756, 430, 31, 640?

You can find a detailed procedure to find GCD of 756, 430, 31, 640 on our page.

3. How to find GCD of 756, 430, 31, 640 on a calculator?

You can find the GCD of 756, 430, 31, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.