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GCD of 472, 688, 917, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 688, 917, 684 quickly. Get the easiest ways to solve the greatest common divisor of 472, 688, 917, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 688, 917, 684 with Factoring?

Given Input numbers are 472, 688, 917, 684

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (472, 688, 917, 684) = 1.

Find GCD of 472, 688, 917, 684 using Prime Factorization

Given numbers are 472, 688, 917, 684

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 917 are 7 x 131

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 472, 688, 917, 684 using LCM Formula

Given numbers are 472, 688, 917, 684

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

Apply this formula for all numbers.

Step1:

LCM(472, 688) = 40592

GCD(472, 688) = ( 472 x 688 ) / 40592

= 472 / 688

= 472


Step2:

LCM(8, 917) = 7336

GCD(8, 917) = ( 8 x 917 ) / 7336

= 8 / 917

= 8


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 472, 688, 917, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 688, 917, 684

Given numbers are 472, 688, 917, 684
The greatest common divisor of numbers 472, 688, 917, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 688, 917, 684 is 1.

FAQs on GCD of 472, 688, 917, 684 Calculator

1. What is the GCD of 472, 688, 917, 684?

GCD of given numbers 472, 688, 917, 684 is 1


2. How to calculate the greatest common divisor of 472, 688, 917, 684?

We can find the highest common divisor of 472, 688, 917, 684 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 472, 688, 917, 684 i.e 1.


3. How can I use the GCD of 472, 688, 917, 684Calculator?

Out the numbers 472, 688, 917, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.