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GCD of 137, 971, 886, 198 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, 971, 886, 198 quickly. Get the easiest ways to solve the greatest common divisor of 137, 971, 886, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 971, 886, 198 with Factoring?

Given Input numbers are 137, 971, 886, 198

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198


GCD of numbers is the greatest common divisor

So, the GCD (137, 971, 886, 198) = 1.

Find GCD of 137, 971, 886, 198 using Prime Factorization

Given numbers are 137, 971, 886, 198

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 971 are 971

Prime factors of 886 are 2 x 443

Prime factors of 198 are 2 x 3 x 3 x 11

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

Steps to Calculate GCD of 137, 971, 886, 198 using LCM Formula

Given numbers are 137, 971, 886, 198

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

Apply this formula for all numbers.

Step1:

LCM(137, 971) = 133027

GCD(137, 971) = ( 137 x 971 ) / 133027

= 137 / 971

= 137


Step2:

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

= 1 / 886

= 1


Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


So, Greatest Common Divisor of 137, 971, 886, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 971, 886, 198

Given numbers are 137, 971, 886, 198
The greatest common divisor of numbers 137, 971, 886, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 971, 886, 198 is 1.

FAQs on GCD of 137, 971, 886, 198 Calculator

1. What is the GCD of 137, 971, 886, 198?

GCD of given numbers 137, 971, 886, 198 is 1


2. How to calculate the greatest common divisor of 137, 971, 886, 198?

We can find the highest common divisor of 137, 971, 886, 198 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, 971, 886, 198 i.e 1.


3. How can I use the GCD of 137, 971, 886, 198Calculator?

Out the numbers 137, 971, 886, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.