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GCD of 684, 756, 559, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 684, 756, 559, 691 quickly. Get the easiest ways to solve the greatest common divisor of 684, 756, 559, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 756, 559, 691 with Factoring?

Given Input numbers are 684, 756, 559, 691

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

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (684, 756, 559, 691) = 1.

Find GCD of 684, 756, 559, 691 using Prime Factorization

Given numbers are 684, 756, 559, 691

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 559 are 13 x 43

Prime factors of 691 are 691

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

Steps to Calculate GCD of 684, 756, 559, 691 using LCM Formula

Given numbers are 684, 756, 559, 691

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

Apply this formula for all numbers.

Step1:

LCM(684, 756) = 14364

GCD(684, 756) = ( 684 x 756 ) / 14364

= 684 / 756

= 684


Step2:

LCM(36, 559) = 20124

GCD(36, 559) = ( 36 x 559 ) / 20124

= 36 / 559

= 36


Step3:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


So, Greatest Common Divisor of 684, 756, 559, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 756, 559, 691

Given numbers are 684, 756, 559, 691
The greatest common divisor of numbers 684, 756, 559, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 756, 559, 691 is 1.

FAQs on GCD of 684, 756, 559, 691 Calculator

1. What is the GCD of 684, 756, 559, 691?

GCD of given numbers 684, 756, 559, 691 is 1


2. How to calculate the greatest common divisor of 684, 756, 559, 691?

We can find the highest common divisor of 684, 756, 559, 691 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 684, 756, 559, 691 i.e 1.


3. How can I use the GCD of 684, 756, 559, 691Calculator?

Out the numbers 684, 756, 559, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.