GCD of 312, 948, 375, 139 Calculator

Given Input numbers are 312, 948, 375, 139

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 312, 948, 375, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 948, 375, 139 is 1.

Therefore, GCD of numbers 312, 948, 375, 139 is 1

Given Input Data is 312, 948, 375, 139

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 948 is 2 x 2 x 3 x 79

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 139 is 139

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, 948) = 24648

GCD(312, 948) = ( 312 x 948 ) / 24648

GCD(312, 948) = 295776 / 24648

GCD(312, 948) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 375

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

LCM(12, 375) = 1500

GCD(12, 375) = ( 12 x 375 ) / 1500

GCD(12, 375) = 4500 / 1500

GCD(12, 375) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 139

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

LCM(3, 139) = 417

GCD(3, 139) = ( 3 x 139 ) / 417

GCD(3, 139) = 417 / 417

GCD(3, 139) = 1

GCD of 312, 948, 375, 139 is 1

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1. What is the GCD of 312, 948, 375, 139?

GCD of 312, 948, 375, 139 is 1

2. Where do I get the detailed procedure to find GCD of 312, 948, 375, 139?

You can find a detailed procedure to find GCD of 312, 948, 375, 139 on our page.

3. How to find GCD of 312, 948, 375, 139 on a calculator?

You can find the GCD of 312, 948, 375, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.