GCD of 870, 631, 548, 312 Calculator

Given Input numbers are 870, 631, 548, 312

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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

Greatest Common Divisior

We found the divisors of 870, 631, 548, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 631, 548, 312 is 1.

Therefore, GCD of numbers 870, 631, 548, 312 is 1

Given Input Data is 870, 631, 548, 312

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 631 is 631

Prime Factorization of 548 is 2 x 2 x 137

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

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(870, 631) = 548970

GCD(870, 631) = ( 870 x 631 ) / 548970

GCD(870, 631) = 548970 / 548970

GCD(870, 631) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 870, 631, 548, 312 is 1

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1. What is the GCD of 870, 631, 548, 312?

GCD of 870, 631, 548, 312 is 1

2. Where do I get the detailed procedure to find GCD of 870, 631, 548, 312?

You can find a detailed procedure to find GCD of 870, 631, 548, 312 on our page.

3. How to find GCD of 870, 631, 548, 312 on a calculator?

You can find the GCD of 870, 631, 548, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.