GCD of 357, 756, 31, 747 Calculator

Given Input numbers are 357, 756, 31, 747

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 31

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

1, 31

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 357, 756, 31, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 756, 31, 747 is 1.

Therefore, GCD of numbers 357, 756, 31, 747 is 1

Given Input Data is 357, 756, 31, 747

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

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 31 is 31

Prime Factorization of 747 is 3 x 3 x 83

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(357, 756) = 12852

GCD(357, 756) = ( 357 x 756 ) / 12852

GCD(357, 756) = 269892 / 12852

GCD(357, 756) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 31

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

LCM(21, 31) = 651

GCD(21, 31) = ( 21 x 31 ) / 651

GCD(21, 31) = 651 / 651

GCD(21, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 357, 756, 31, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 301, 38, 141
• GCD of 163, 900, 74, 169
• GCD of 697, 760, 41, 832
• GCD of 448, 713, 15, 624
• GCD of 646, 250, 47, 781

1. What is the GCD of 357, 756, 31, 747?

GCD of 357, 756, 31, 747 is 1

2. Where do I get the detailed procedure to find GCD of 357, 756, 31, 747?

You can find a detailed procedure to find GCD of 357, 756, 31, 747 on our page.

3. How to find GCD of 357, 756, 31, 747 on a calculator?

You can find the GCD of 357, 756, 31, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.