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GCD of 717, 112, 60 Calculator

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


Online GCD Calculator is useful to find the GCD of 717, 112, 60 quickly. Get the easiest ways to solve the greatest common divisor of 717, 112, 60 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 717, 112, 60 with Factoring?

Given Input numbers are 717, 112, 60

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60


GCD of numbers is the greatest common divisor

So, the GCD (717, 112, 60) = 1.

Find GCD of 717, 112, 60 using Prime Factorization

Given numbers are 717, 112, 60

The list of prime factors of all numbers are

Prime factors of 717 are 3 x 239

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 60 are 2 x 2 x 3 x 5

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

Steps to Calculate GCD of 717, 112, 60 using LCM Formula

Given numbers are 717, 112, 60

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

Apply this formula for all numbers.

Step1:

LCM(717, 112) = 80304

GCD(717, 112) = ( 717 x 112 ) / 80304

= 717 / 112

= 717


Step2:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1


So, Greatest Common Divisor of 717, 112, 60 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 717, 112, 60

Given numbers are 717, 112, 60
The greatest common divisor of numbers 717, 112, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 112, 60 is 1.

FAQs on GCD of 717, 112, 60 Calculator

1. What is the GCD of 717, 112, 60?

GCD of given numbers 717, 112, 60 is 1


2. How to calculate the greatest common divisor of 717, 112, 60?

We can find the highest common divisor of 717, 112, 60 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 717, 112, 60 i.e 1.


3. How can I use the GCD of 717, 112, 60Calculator?

Out the numbers 717, 112, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.