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GCD of 198, 991, 509, 620 Calculator

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


Online GCD Calculator is useful to find the GCD of 198, 991, 509, 620 quickly. Get the easiest ways to solve the greatest common divisor of 198, 991, 509, 620 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 198, 991, 509, 620 with Factoring?

Given Input numbers are 198, 991, 509, 620

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

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620


GCD of numbers is the greatest common divisor

So, the GCD (198, 991, 509, 620) = 1.

Find GCD of 198, 991, 509, 620 using Prime Factorization

Given numbers are 198, 991, 509, 620

The list of prime factors of all numbers are

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

Prime factors of 991 are 991

Prime factors of 509 are 509

Prime factors of 620 are 2 x 2 x 5 x 31

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

Steps to Calculate GCD of 198, 991, 509, 620 using LCM Formula

Given numbers are 198, 991, 509, 620

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

Apply this formula for all numbers.

Step1:

LCM(198, 991) = 196218

GCD(198, 991) = ( 198 x 991 ) / 196218

= 198 / 991

= 198


Step2:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


Step3:

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

= 1 / 620

= 1


So, Greatest Common Divisor of 198, 991, 509, 620 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 198, 991, 509, 620

Given numbers are 198, 991, 509, 620
The greatest common divisor of numbers 198, 991, 509, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 991, 509, 620 is 1.

FAQs on GCD of 198, 991, 509, 620 Calculator

1. What is the GCD of 198, 991, 509, 620?

GCD of given numbers 198, 991, 509, 620 is 1


2. How to calculate the greatest common divisor of 198, 991, 509, 620?

We can find the highest common divisor of 198, 991, 509, 620 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 198, 991, 509, 620 i.e 1.


3. How can I use the GCD of 198, 991, 509, 620Calculator?

Out the numbers 198, 991, 509, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.