GCD of 756, 786, 657, 941 Calculator

Given Input numbers are 756, 786, 657, 941

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 756, 786, 657, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 786, 657, 941 is 1.

Therefore, GCD of numbers 756, 786, 657, 941 is 1

Given Input Data is 756, 786, 657, 941

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 786 is 2 x 3 x 131

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 941 is 941

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, 786) = 99036

GCD(756, 786) = ( 756 x 786 ) / 99036

GCD(756, 786) = 594216 / 99036

GCD(756, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 657

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

LCM(6, 657) = 1314

GCD(6, 657) = ( 6 x 657 ) / 1314

GCD(6, 657) = 3942 / 1314

GCD(6, 657) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 941

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

LCM(3, 941) = 2823

GCD(3, 941) = ( 3 x 941 ) / 2823

GCD(3, 941) = 2823 / 2823

GCD(3, 941) = 1

GCD of 756, 786, 657, 941 is 1

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1. What is the GCD of 756, 786, 657, 941?

GCD of 756, 786, 657, 941 is 1

2. Where do I get the detailed procedure to find GCD of 756, 786, 657, 941?

You can find a detailed procedure to find GCD of 756, 786, 657, 941 on our page.

3. How to find GCD of 756, 786, 657, 941 on a calculator?

You can find the GCD of 756, 786, 657, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.