GCD of 508, 131, 378, 822 Calculator

Given Input numbers are 508, 131, 378, 822

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

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 508, 131, 378, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 131, 378, 822 is 1.

Therefore, GCD of numbers 508, 131, 378, 822 is 1

Given Input Data is 508, 131, 378, 822

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 131 is 131

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 822 is 2 x 3 x 137

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(508, 131) = 66548

GCD(508, 131) = ( 508 x 131 ) / 66548

GCD(508, 131) = 66548 / 66548

GCD(508, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 508, 131, 378, 822 is 1

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• GCD of 686, 844, 954, 857
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1. What is the GCD of 508, 131, 378, 822?

GCD of 508, 131, 378, 822 is 1

2. Where do I get the detailed procedure to find GCD of 508, 131, 378, 822?

You can find a detailed procedure to find GCD of 508, 131, 378, 822 on our page.

3. How to find GCD of 508, 131, 378, 822 on a calculator?

You can find the GCD of 508, 131, 378, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.