LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 564, 708, 575 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, 708, 575 quickly. Get the easiest ways to solve the greatest common divisor of 564, 708, 575 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 708, 575 with Factoring?

Given Input numbers are 564, 708, 575

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575


GCD of numbers is the greatest common divisor

So, the GCD (564, 708, 575) = 1.

Find GCD of 564, 708, 575 using Prime Factorization

Given numbers are 564, 708, 575

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 575 are 5 x 5 x 23

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

Steps to Calculate GCD of 564, 708, 575 using LCM Formula

Given numbers are 564, 708, 575

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

Apply this formula for all numbers.

Step1:

LCM(564, 708) = 33276

GCD(564, 708) = ( 564 x 708 ) / 33276

= 564 / 708

= 564


Step2:

LCM(12, 575) = 6900

GCD(12, 575) = ( 12 x 575 ) / 6900

= 12 / 575

= 12


So, Greatest Common Divisor of 564, 708, 575 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 708, 575

Given numbers are 564, 708, 575
The greatest common divisor of numbers 564, 708, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 708, 575 is 1.

FAQs on GCD of 564, 708, 575 Calculator

1. What is the GCD of 564, 708, 575?

GCD of given numbers 564, 708, 575 is 1


2. How to calculate the greatest common divisor of 564, 708, 575?

We can find the highest common divisor of 564, 708, 575 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, 708, 575 i.e 1.


3. How can I use the GCD of 564, 708, 575Calculator?

Out the numbers 564, 708, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.