GCD of 315, 165, 956, 139 Calculator

Given Input numbers are 315, 165, 956, 139

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

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 956

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

1, 2, 4, 239, 478, 956

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 315, 165, 956, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 165, 956, 139 is 1.

Therefore, GCD of numbers 315, 165, 956, 139 is 1

Given Input Data is 315, 165, 956, 139

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

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 956 is 2 x 2 x 239

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(315, 165) = 3465

GCD(315, 165) = ( 315 x 165 ) / 3465

GCD(315, 165) = 51975 / 3465

GCD(315, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 956

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

LCM(15, 956) = 14340

GCD(15, 956) = ( 15 x 956 ) / 14340

GCD(15, 956) = 14340 / 14340

GCD(15, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 315, 165, 956, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 922, 581, 946
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• GCD of 166, 459, 825, 235
• GCD of 382, 671, 826, 538

1. What is the GCD of 315, 165, 956, 139?

GCD of 315, 165, 956, 139 is 1

2. Where do I get the detailed procedure to find GCD of 315, 165, 956, 139?

You can find a detailed procedure to find GCD of 315, 165, 956, 139 on our page.

3. How to find GCD of 315, 165, 956, 139 on a calculator?

You can find the GCD of 315, 165, 956, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.