GCD of 492, 159, 948, 137 Calculator

Given Input numbers are 492, 159, 948, 137

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 492, 159, 948, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 159, 948, 137 is 1.

Therefore, GCD of numbers 492, 159, 948, 137 is 1

Given Input Data is 492, 159, 948, 137

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 159 is 3 x 53

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 137 is 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(492, 159) = 26076

GCD(492, 159) = ( 492 x 159 ) / 26076

GCD(492, 159) = 78228 / 26076

GCD(492, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 948

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

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

GCD(3, 948) = 2844 / 948

GCD(3, 948) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 137

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

LCM(3, 137) = 411

GCD(3, 137) = ( 3 x 137 ) / 411

GCD(3, 137) = 411 / 411

GCD(3, 137) = 1

GCD of 492, 159, 948, 137 is 1

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1. What is the GCD of 492, 159, 948, 137?

GCD of 492, 159, 948, 137 is 1

2. Where do I get the detailed procedure to find GCD of 492, 159, 948, 137?

You can find a detailed procedure to find GCD of 492, 159, 948, 137 on our page.

3. How to find GCD of 492, 159, 948, 137 on a calculator?

You can find the GCD of 492, 159, 948, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.