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GCD of 137, 684, 424, 234 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, 684, 424, 234 quickly. Get the easiest ways to solve the greatest common divisor of 137, 684, 424, 234 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 684, 424, 234 with Factoring?

Given Input numbers are 137, 684, 424, 234

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 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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234


GCD of numbers is the greatest common divisor

So, the GCD (137, 684, 424, 234) = 1.

Find GCD of 137, 684, 424, 234 using Prime Factorization

Given numbers are 137, 684, 424, 234

The list of prime factors of all numbers are

Prime factors of 137 are 137

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

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 234 are 2 x 3 x 3 x 13

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

Steps to Calculate GCD of 137, 684, 424, 234 using LCM Formula

Given numbers are 137, 684, 424, 234

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

Apply this formula for all numbers.

Step1:

LCM(137, 684) = 93708

GCD(137, 684) = ( 137 x 684 ) / 93708

= 137 / 684

= 137


Step2:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1


Step3:

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

= 1 / 234

= 1


So, Greatest Common Divisor of 137, 684, 424, 234 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 684, 424, 234

Given numbers are 137, 684, 424, 234
The greatest common divisor of numbers 137, 684, 424, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 684, 424, 234 is 1.

FAQs on GCD of 137, 684, 424, 234 Calculator

1. What is the GCD of 137, 684, 424, 234?

GCD of given numbers 137, 684, 424, 234 is 1


2. How to calculate the greatest common divisor of 137, 684, 424, 234?

We can find the highest common divisor of 137, 684, 424, 234 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, 684, 424, 234 i.e 1.


3. How can I use the GCD of 137, 684, 424, 234Calculator?

Out the numbers 137, 684, 424, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.