GCD of 118, 132, 58, 131 Calculator

Given Input numbers are 118, 132, 58, 131

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 131

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

1, 131

Greatest Common Divisior

We found the divisors of 118, 132, 58, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 132, 58, 131 is 1.

Therefore, GCD of numbers 118, 132, 58, 131 is 1

Given Input Data is 118, 132, 58, 131

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 131 is 131

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(118, 132) = 7788

GCD(118, 132) = ( 118 x 132 ) / 7788

GCD(118, 132) = 15576 / 7788

GCD(118, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 118, 132, 58, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 483, 54, 496
• GCD of 119, 611, 60, 965
• GCD of 438, 809, 45, 776
• GCD of 816, 665, 59, 957
• GCD of 905, 566, 87, 742

1. What is the GCD of 118, 132, 58, 131?

GCD of 118, 132, 58, 131 is 1

2. Where do I get the detailed procedure to find GCD of 118, 132, 58, 131?

You can find a detailed procedure to find GCD of 118, 132, 58, 131 on our page.

3. How to find GCD of 118, 132, 58, 131 on a calculator?

You can find the GCD of 118, 132, 58, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.