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GCD of 117, 495, 200, 813 Calculator

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


Online GCD Calculator is useful to find the GCD of 117, 495, 200, 813 quickly. Get the easiest ways to solve the greatest common divisor of 117, 495, 200, 813 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 117, 495, 200, 813 with Factoring?

Given Input numbers are 117, 495, 200, 813

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813


GCD of numbers is the greatest common divisor

So, the GCD (117, 495, 200, 813) = 1.

Find GCD of 117, 495, 200, 813 using Prime Factorization

Given numbers are 117, 495, 200, 813

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 813 are 3 x 271

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

Steps to Calculate GCD of 117, 495, 200, 813 using LCM Formula

Given numbers are 117, 495, 200, 813

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

Apply this formula for all numbers.

Step1:

LCM(117, 495) = 6435

GCD(117, 495) = ( 117 x 495 ) / 6435

= 117 / 495

= 117


Step2:

LCM(9, 200) = 1800

GCD(9, 200) = ( 9 x 200 ) / 1800

= 9 / 200

= 9


Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1


So, Greatest Common Divisor of 117, 495, 200, 813 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 117, 495, 200, 813

Given numbers are 117, 495, 200, 813
The greatest common divisor of numbers 117, 495, 200, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 495, 200, 813 is 1.

FAQs on GCD of 117, 495, 200, 813 Calculator

1. What is the GCD of 117, 495, 200, 813?

GCD of given numbers 117, 495, 200, 813 is 1


2. How to calculate the greatest common divisor of 117, 495, 200, 813?

We can find the highest common divisor of 117, 495, 200, 813 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 117, 495, 200, 813 i.e 1.


3. How can I use the GCD of 117, 495, 200, 813Calculator?

Out the numbers 117, 495, 200, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.