GCD of 956, 276, 312, 753 Calculator

Given Input numbers are 956, 276, 312, 753

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 956, 276, 312, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 276, 312, 753 is 1.

Therefore, GCD of numbers 956, 276, 312, 753 is 1

Given Input Data is 956, 276, 312, 753

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 753 is 3 x 251

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(956, 276) = 65964

GCD(956, 276) = ( 956 x 276 ) / 65964

GCD(956, 276) = 263856 / 65964

GCD(956, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 312

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

LCM(4, 312) = 312

GCD(4, 312) = ( 4 x 312 ) / 312

GCD(4, 312) = 1248 / 312

GCD(4, 312) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 753

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

LCM(4, 753) = 3012

GCD(4, 753) = ( 4 x 753 ) / 3012

GCD(4, 753) = 3012 / 3012

GCD(4, 753) = 1

GCD of 956, 276, 312, 753 is 1

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1. What is the GCD of 956, 276, 312, 753?

GCD of 956, 276, 312, 753 is 1

2. Where do I get the detailed procedure to find GCD of 956, 276, 312, 753?

You can find a detailed procedure to find GCD of 956, 276, 312, 753 on our page.

3. How to find GCD of 956, 276, 312, 753 on a calculator?

You can find the GCD of 956, 276, 312, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.