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GCD of 716, 852, 917, 738 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 852, 917, 738 quickly. Get the easiest ways to solve the greatest common divisor of 716, 852, 917, 738 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 852, 917, 738 with Factoring?

Given Input numbers are 716, 852, 917, 738

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738


GCD of numbers is the greatest common divisor

So, the GCD (716, 852, 917, 738) = 1.

Find GCD of 716, 852, 917, 738 using Prime Factorization

Given numbers are 716, 852, 917, 738

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 917 are 7 x 131

Prime factors of 738 are 2 x 3 x 3 x 41

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

Steps to Calculate GCD of 716, 852, 917, 738 using LCM Formula

Given numbers are 716, 852, 917, 738

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

Apply this formula for all numbers.

Step1:

LCM(716, 852) = 152508

GCD(716, 852) = ( 716 x 852 ) / 152508

= 716 / 852

= 716


Step2:

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

= 4 / 917

= 4


Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1


So, Greatest Common Divisor of 716, 852, 917, 738 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 852, 917, 738

Given numbers are 716, 852, 917, 738
The greatest common divisor of numbers 716, 852, 917, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 852, 917, 738 is 1.

FAQs on GCD of 716, 852, 917, 738 Calculator

1. What is the GCD of 716, 852, 917, 738?

GCD of given numbers 716, 852, 917, 738 is 1


2. How to calculate the greatest common divisor of 716, 852, 917, 738?

We can find the highest common divisor of 716, 852, 917, 738 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 716, 852, 917, 738 i.e 1.


3. How can I use the GCD of 716, 852, 917, 738Calculator?

Out the numbers 716, 852, 917, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.