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GCD of 564, 299, 357, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 564, 299, 357, 772 quickly. Get the easiest ways to solve the greatest common divisor of 564, 299, 357, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 299, 357, 772 with Factoring?

Given Input numbers are 564, 299, 357, 772

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (564, 299, 357, 772) = 1.

Find GCD of 564, 299, 357, 772 using Prime Factorization

Given numbers are 564, 299, 357, 772

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 299 are 13 x 23

Prime factors of 357 are 3 x 7 x 17

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 564, 299, 357, 772 using LCM Formula

Given numbers are 564, 299, 357, 772

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

Apply this formula for all numbers.

Step1:

LCM(564, 299) = 168636

GCD(564, 299) = ( 564 x 299 ) / 168636

= 564 / 299

= 564


Step2:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 564, 299, 357, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 299, 357, 772

Given numbers are 564, 299, 357, 772
The greatest common divisor of numbers 564, 299, 357, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 299, 357, 772 is 1.

FAQs on GCD of 564, 299, 357, 772 Calculator

1. What is the GCD of 564, 299, 357, 772?

GCD of given numbers 564, 299, 357, 772 is 1


2. How to calculate the greatest common divisor of 564, 299, 357, 772?

We can find the highest common divisor of 564, 299, 357, 772 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 564, 299, 357, 772 i.e 1.


3. How can I use the GCD of 564, 299, 357, 772Calculator?

Out the numbers 564, 299, 357, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.