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GCD of 977, 614, 341, 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 977, 614, 341, 198 quickly. Get the easiest ways to solve the greatest common divisor of 977, 614, 341, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 614, 341, 198 with Factoring?

Given Input numbers are 977, 614, 341, 198

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

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 (977, 614, 341, 198) = 1.

Find GCD of 977, 614, 341, 198 using Prime Factorization

Given numbers are 977, 614, 341, 198

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 614 are 2 x 307

Prime factors of 341 are 11 x 31

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 977, 614, 341, 198 using LCM Formula

Given numbers are 977, 614, 341, 198

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

Apply this formula for all numbers.

Step1:

LCM(977, 614) = 599878

GCD(977, 614) = ( 977 x 614 ) / 599878

= 977 / 614

= 977


Step2:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1


Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1


So, Greatest Common Divisor of 977, 614, 341, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 614, 341, 198

Given numbers are 977, 614, 341, 198
The greatest common divisor of numbers 977, 614, 341, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 614, 341, 198 is 1.

FAQs on GCD of 977, 614, 341, 198 Calculator

1. What is the GCD of 977, 614, 341, 198?

GCD of given numbers 977, 614, 341, 198 is 1


2. How to calculate the greatest common divisor of 977, 614, 341, 198?

We can find the highest common divisor of 977, 614, 341, 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 977, 614, 341, 198 i.e 1.


3. How can I use the GCD of 977, 614, 341, 198Calculator?

Out the numbers 977, 614, 341, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.