GCD of 312, 916, 487, 953 Calculator

Given Input numbers are 312, 916, 487, 953

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

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 312, 916, 487, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 916, 487, 953 is 1.

Therefore, GCD of numbers 312, 916, 487, 953 is 1

Given Input Data is 312, 916, 487, 953

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

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 487 is 487

Prime Factorization of 953 is 953

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(312, 916) = 71448

GCD(312, 916) = ( 312 x 916 ) / 71448

GCD(312, 916) = 285792 / 71448

GCD(312, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 487

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

LCM(4, 487) = 1948

GCD(4, 487) = ( 4 x 487 ) / 1948

GCD(4, 487) = 1948 / 1948

GCD(4, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 312, 916, 487, 953 is 1

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1. What is the GCD of 312, 916, 487, 953?

GCD of 312, 916, 487, 953 is 1

2. Where do I get the detailed procedure to find GCD of 312, 916, 487, 953?

You can find a detailed procedure to find GCD of 312, 916, 487, 953 on our page.

3. How to find GCD of 312, 916, 487, 953 on a calculator?

You can find the GCD of 312, 916, 487, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.