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GCD of 135, 610, 991, 364 Calculator

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


Online GCD Calculator is useful to find the GCD of 135, 610, 991, 364 quickly. Get the easiest ways to solve the greatest common divisor of 135, 610, 991, 364 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 135, 610, 991, 364 with Factoring?

Given Input numbers are 135, 610, 991, 364

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 991 :

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

1, 991

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (135, 610, 991, 364) = 1.

Find GCD of 135, 610, 991, 364 using Prime Factorization

Given numbers are 135, 610, 991, 364

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 610 are 2 x 5 x 61

Prime factors of 991 are 991

Prime factors of 364 are 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 135, 610, 991, 364 using LCM Formula

Given numbers are 135, 610, 991, 364

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

Apply this formula for all numbers.

Step1:

LCM(135, 610) = 16470

GCD(135, 610) = ( 135 x 610 ) / 16470

= 135 / 610

= 135


Step2:

LCM(5, 991) = 4955

GCD(5, 991) = ( 5 x 991 ) / 4955

= 5 / 991

= 5


Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1


So, Greatest Common Divisor of 135, 610, 991, 364 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 135, 610, 991, 364

Given numbers are 135, 610, 991, 364
The greatest common divisor of numbers 135, 610, 991, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 610, 991, 364 is 1.

FAQs on GCD of 135, 610, 991, 364 Calculator

1. What is the GCD of 135, 610, 991, 364?

GCD of given numbers 135, 610, 991, 364 is 1


2. How to calculate the greatest common divisor of 135, 610, 991, 364?

We can find the highest common divisor of 135, 610, 991, 364 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 135, 610, 991, 364 i.e 1.


3. How can I use the GCD of 135, 610, 991, 364Calculator?

Out the numbers 135, 610, 991, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.