GCD of 756, 744, 985, 952 Calculator

Given Input numbers are 756, 744, 985, 952

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 756, 744, 985, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 744, 985, 952 is 1.

Therefore, GCD of numbers 756, 744, 985, 952 is 1

Given Input Data is 756, 744, 985, 952

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 985 is 5 x 197

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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, 744) = 46872

GCD(756, 744) = ( 756 x 744 ) / 46872

GCD(756, 744) = 562464 / 46872

GCD(756, 744) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 985

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

LCM(12, 985) = 11820

GCD(12, 985) = ( 12 x 985 ) / 11820

GCD(12, 985) = 11820 / 11820

GCD(12, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 756, 744, 985, 952 is 1

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1. What is the GCD of 756, 744, 985, 952?

GCD of 756, 744, 985, 952 is 1

2. Where do I get the detailed procedure to find GCD of 756, 744, 985, 952?

You can find a detailed procedure to find GCD of 756, 744, 985, 952 on our page.

3. How to find GCD of 756, 744, 985, 952 on a calculator?

You can find the GCD of 756, 744, 985, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.