GCD of 147, 508, 77, 331 Calculator

Given Input numbers are 147, 508, 77, 331

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 331

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

1, 331

Greatest Common Divisior

We found the divisors of 147, 508, 77, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 508, 77, 331 is 1.

Therefore, GCD of numbers 147, 508, 77, 331 is 1

Given Input Data is 147, 508, 77, 331

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 77 is 7 x 11

Prime Factorization of 331 is 331

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(147, 508) = 74676

GCD(147, 508) = ( 147 x 508 ) / 74676

GCD(147, 508) = 74676 / 74676

GCD(147, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

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

GCD of 147, 508, 77, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 702, 49, 674
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• GCD of 891, 679, 36, 299

1. What is the GCD of 147, 508, 77, 331?

GCD of 147, 508, 77, 331 is 1

2. Where do I get the detailed procedure to find GCD of 147, 508, 77, 331?

You can find a detailed procedure to find GCD of 147, 508, 77, 331 on our page.

3. How to find GCD of 147, 508, 77, 331 on a calculator?

You can find the GCD of 147, 508, 77, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.