GCD of 974, 234, 139, 315 Calculator

Given Input numbers are 974, 234, 139, 315

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 139

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

1, 139

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 974, 234, 139, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 234, 139, 315 is 1.

Therefore, GCD of numbers 974, 234, 139, 315 is 1

Given Input Data is 974, 234, 139, 315

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 139 is 139

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(974, 234) = 113958

GCD(974, 234) = ( 974 x 234 ) / 113958

GCD(974, 234) = 227916 / 113958

GCD(974, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 139

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

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

GCD(2, 139) = 278 / 278

GCD(2, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 974, 234, 139, 315 is 1

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1. What is the GCD of 974, 234, 139, 315?

GCD of 974, 234, 139, 315 is 1

2. Where do I get the detailed procedure to find GCD of 974, 234, 139, 315?

You can find a detailed procedure to find GCD of 974, 234, 139, 315 on our page.

3. How to find GCD of 974, 234, 139, 315 on a calculator?

You can find the GCD of 974, 234, 139, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.