GCD of 756, 429, 640, 351 Calculator

Given Input numbers are 756, 429, 640, 351

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 756, 429, 640, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 429, 640, 351 is 1.

Therefore, GCD of numbers 756, 429, 640, 351 is 1

Given Input Data is 756, 429, 640, 351

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 429 is 3 x 11 x 13

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

Prime Factorization of 351 is 3 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(756, 429) = 108108

GCD(756, 429) = ( 756 x 429 ) / 108108

GCD(756, 429) = 324324 / 108108

GCD(756, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 640

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

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

GCD(3, 640) = 1920 / 1920

GCD(3, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 756, 429, 640, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 104, 109, 250
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• GCD of 308, 558, 992, 452

1. What is the GCD of 756, 429, 640, 351?

GCD of 756, 429, 640, 351 is 1

2. Where do I get the detailed procedure to find GCD of 756, 429, 640, 351?

You can find a detailed procedure to find GCD of 756, 429, 640, 351 on our page.

3. How to find GCD of 756, 429, 640, 351 on a calculator?

You can find the GCD of 756, 429, 640, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.