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GCD of 137, 312, 308, 578 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, 312, 308, 578 quickly. Get the easiest ways to solve the greatest common divisor of 137, 312, 308, 578 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 312, 308, 578 with Factoring?

Given Input numbers are 137, 312, 308, 578

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578


GCD of numbers is the greatest common divisor

So, the GCD (137, 312, 308, 578) = 1.

Find GCD of 137, 312, 308, 578 using Prime Factorization

Given numbers are 137, 312, 308, 578

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 578 are 2 x 17 x 17

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

Steps to Calculate GCD of 137, 312, 308, 578 using LCM Formula

Given numbers are 137, 312, 308, 578

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

Apply this formula for all numbers.

Step1:

LCM(137, 312) = 42744

GCD(137, 312) = ( 137 x 312 ) / 42744

= 137 / 312

= 137


Step2:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1


Step3:

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

= 1 / 578

= 1


So, Greatest Common Divisor of 137, 312, 308, 578 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 312, 308, 578

Given numbers are 137, 312, 308, 578
The greatest common divisor of numbers 137, 312, 308, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 312, 308, 578 is 1.

FAQs on GCD of 137, 312, 308, 578 Calculator

1. What is the GCD of 137, 312, 308, 578?

GCD of given numbers 137, 312, 308, 578 is 1


2. How to calculate the greatest common divisor of 137, 312, 308, 578?

We can find the highest common divisor of 137, 312, 308, 578 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, 312, 308, 578 i.e 1.


3. How can I use the GCD of 137, 312, 308, 578Calculator?

Out the numbers 137, 312, 308, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.