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GCD of 137, 257, 684, 982 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 137, 257, 684, 982 quickly. Get the easiest ways to solve the greatest common divisor of 137, 257, 684, 982 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 257, 684, 982 with Factoring?

Given Input numbers are 137, 257, 684, 982

In the factoring method, we have to find the divisors of all numbers

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982


GCD of numbers is the greatest common divisor

So, the GCD (137, 257, 684, 982) = 1.

Find GCD of 137, 257, 684, 982 using Prime Factorization

Given numbers are 137, 257, 684, 982

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 257 are 257

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 982 are 2 x 491

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 137, 257, 684, 982 using LCM Formula

Given numbers are 137, 257, 684, 982

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(137, 257) = 35209

GCD(137, 257) = ( 137 x 257 ) / 35209

= 137 / 257

= 137


Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1


So, Greatest Common Divisor of 137, 257, 684, 982 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 257, 684, 982

Given numbers are 137, 257, 684, 982
The greatest common divisor of numbers 137, 257, 684, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 257, 684, 982 is 1.

FAQs on GCD of 137, 257, 684, 982 Calculator

1. What is the GCD of 137, 257, 684, 982?

GCD of given numbers 137, 257, 684, 982 is 1


2. How to calculate the greatest common divisor of 137, 257, 684, 982?

We can find the highest common divisor of 137, 257, 684, 982 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 137, 257, 684, 982 i.e 1.


3. How can I use the GCD of 137, 257, 684, 982Calculator?

Out the numbers 137, 257, 684, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.