GCD of 137, 206, 656, 986 Calculator

Given Input numbers are 137, 206, 656, 986

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

Divisors of 137

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

1, 137

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 137, 206, 656, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 206, 656, 986 is 1.

Therefore, GCD of numbers 137, 206, 656, 986 is 1

Given Input Data is 137, 206, 656, 986

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

Prime Factorization of 137 is 137

Prime Factorization of 206 is 2 x 103

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 986 is 2 x 17 x 29

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(137, 206) = 28222

GCD(137, 206) = ( 137 x 206 ) / 28222

GCD(137, 206) = 28222 / 28222

GCD(137, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 137, 206, 656, 986 is 1

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1. What is the GCD of 137, 206, 656, 986?

GCD of 137, 206, 656, 986 is 1

2. Where do I get the detailed procedure to find GCD of 137, 206, 656, 986?

You can find a detailed procedure to find GCD of 137, 206, 656, 986 on our page.

3. How to find GCD of 137, 206, 656, 986 on a calculator?

You can find the GCD of 137, 206, 656, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.