GCD of 915, 656, 331, 144 Calculator

Given Input numbers are 915, 656, 331, 144

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 915, 656, 331, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 656, 331, 144 is 1.

Therefore, GCD of numbers 915, 656, 331, 144 is 1

Given Input Data is 915, 656, 331, 144

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 331 is 331

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(915, 656) = 600240

GCD(915, 656) = ( 915 x 656 ) / 600240

GCD(915, 656) = 600240 / 600240

GCD(915, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 915, 656, 331, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 797, 548, 362
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• GCD of 879, 493, 880, 426
• GCD of 715, 665, 139, 316

1. What is the GCD of 915, 656, 331, 144?

GCD of 915, 656, 331, 144 is 1

2. Where do I get the detailed procedure to find GCD of 915, 656, 331, 144?

You can find a detailed procedure to find GCD of 915, 656, 331, 144 on our page.

3. How to find GCD of 915, 656, 331, 144 on a calculator?

You can find the GCD of 915, 656, 331, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.