GCD of 756, 355, 427, 521 Calculator

Given Input numbers are 756, 355, 427, 521

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 756, 355, 427, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 355, 427, 521 is 1.

Therefore, GCD of numbers 756, 355, 427, 521 is 1

Given Input Data is 756, 355, 427, 521

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 355 is 5 x 71

Prime Factorization of 427 is 7 x 61

Prime Factorization of 521 is 521

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, 355) = 268380

GCD(756, 355) = ( 756 x 355 ) / 268380

GCD(756, 355) = 268380 / 268380

GCD(756, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 756, 355, 427, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 203, 632, 218
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1. What is the GCD of 756, 355, 427, 521?

GCD of 756, 355, 427, 521 is 1

2. Where do I get the detailed procedure to find GCD of 756, 355, 427, 521?

You can find a detailed procedure to find GCD of 756, 355, 427, 521 on our page.

3. How to find GCD of 756, 355, 427, 521 on a calculator?

You can find the GCD of 756, 355, 427, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.