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GCD of 654, 344, 168, 137 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 344, 168, 137 quickly. Get the easiest ways to solve the greatest common divisor of 654, 344, 168, 137 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 344, 168, 137 with Factoring?

Given Input numbers are 654, 344, 168, 137

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 137 :

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

1, 137


GCD of numbers is the greatest common divisor

So, the GCD (654, 344, 168, 137) = 1.

Find GCD of 654, 344, 168, 137 using Prime Factorization

Given numbers are 654, 344, 168, 137

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 137 are 137

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

Steps to Calculate GCD of 654, 344, 168, 137 using LCM Formula

Given numbers are 654, 344, 168, 137

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

Apply this formula for all numbers.

Step1:

LCM(654, 344) = 112488

GCD(654, 344) = ( 654 x 344 ) / 112488

= 654 / 344

= 654


Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2


Step3:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2


So, Greatest Common Divisor of 654, 344, 168, 137 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 344, 168, 137

Given numbers are 654, 344, 168, 137
The greatest common divisor of numbers 654, 344, 168, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 344, 168, 137 is 1.

FAQs on GCD of 654, 344, 168, 137 Calculator

1. What is the GCD of 654, 344, 168, 137?

GCD of given numbers 654, 344, 168, 137 is 1


2. How to calculate the greatest common divisor of 654, 344, 168, 137?

We can find the highest common divisor of 654, 344, 168, 137 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 654, 344, 168, 137 i.e 1.


3. How can I use the GCD of 654, 344, 168, 137Calculator?

Out the numbers 654, 344, 168, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.