GCD of 461, 986, 988, 131 Calculator

Given Input numbers are 461, 986, 988, 131

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 461, 986, 988, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 986, 988, 131 is 1.

Therefore, GCD of numbers 461, 986, 988, 131 is 1

Given Input Data is 461, 986, 988, 131

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

Prime Factorization of 461 is 461

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(461, 986) = 454546

GCD(461, 986) = ( 461 x 986 ) / 454546

GCD(461, 986) = 454546 / 454546

GCD(461, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 461, 986, 988, 131 is 1

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1. What is the GCD of 461, 986, 988, 131?

GCD of 461, 986, 988, 131 is 1

2. Where do I get the detailed procedure to find GCD of 461, 986, 988, 131?

You can find a detailed procedure to find GCD of 461, 986, 988, 131 on our page.

3. How to find GCD of 461, 986, 988, 131 on a calculator?

You can find the GCD of 461, 986, 988, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.