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GCD of 917, 189, 713 Calculator

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


Online GCD Calculator is useful to find the GCD of 917, 189, 713 quickly. Get the easiest ways to solve the greatest common divisor of 917, 189, 713 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 917, 189, 713 with Factoring?

Given Input numbers are 917, 189, 713

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713


GCD of numbers is the greatest common divisor

So, the GCD (917, 189, 713) = 1.

Find GCD of 917, 189, 713 using Prime Factorization

Given numbers are 917, 189, 713

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 713 are 23 x 31

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

Steps to Calculate GCD of 917, 189, 713 using LCM Formula

Given numbers are 917, 189, 713

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

Apply this formula for all numbers.

Step1:

LCM(917, 189) = 24759

GCD(917, 189) = ( 917 x 189 ) / 24759

= 917 / 189

= 917


Step2:

LCM(7, 713) = 4991

GCD(7, 713) = ( 7 x 713 ) / 4991

= 7 / 713

= 7


So, Greatest Common Divisor of 917, 189, 713 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 917, 189, 713

Given numbers are 917, 189, 713
The greatest common divisor of numbers 917, 189, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 189, 713 is 1.

FAQs on GCD of 917, 189, 713 Calculator

1. What is the GCD of 917, 189, 713?

GCD of given numbers 917, 189, 713 is 1


2. How to calculate the greatest common divisor of 917, 189, 713?

We can find the highest common divisor of 917, 189, 713 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 917, 189, 713 i.e 1.


3. How can I use the GCD of 917, 189, 713Calculator?

Out the numbers 917, 189, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.