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GCD of 564, 188, 692, 967 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, 188, 692, 967 quickly. Get the easiest ways to solve the greatest common divisor of 564, 188, 692, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 188, 692, 967 with Factoring?

Given Input numbers are 564, 188, 692, 967

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (564, 188, 692, 967) = 1.

Find GCD of 564, 188, 692, 967 using Prime Factorization

Given numbers are 564, 188, 692, 967

The list of prime factors of all numbers are

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

Prime factors of 188 are 2 x 2 x 47

Prime factors of 692 are 2 x 2 x 173

Prime factors of 967 are 967

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

Steps to Calculate GCD of 564, 188, 692, 967 using LCM Formula

Given numbers are 564, 188, 692, 967

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

Apply this formula for all numbers.

Step1:

LCM(564, 188) = 564

GCD(564, 188) = ( 564 x 188 ) / 564

= 564 / 188

= 564


Step2:

LCM(188, 692) = 32524

GCD(188, 692) = ( 188 x 692 ) / 32524

= 188 / 692

= 188


Step3:

LCM(4, 967) = 3868

GCD(4, 967) = ( 4 x 967 ) / 3868

= 4 / 967

= 4


So, Greatest Common Divisor of 564, 188, 692, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 188, 692, 967

Given numbers are 564, 188, 692, 967
The greatest common divisor of numbers 564, 188, 692, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 188, 692, 967 is 1.

FAQs on GCD of 564, 188, 692, 967 Calculator

1. What is the GCD of 564, 188, 692, 967?

GCD of given numbers 564, 188, 692, 967 is 1


2. How to calculate the greatest common divisor of 564, 188, 692, 967?

We can find the highest common divisor of 564, 188, 692, 967 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, 188, 692, 967 i.e 1.


3. How can I use the GCD of 564, 188, 692, 967Calculator?

Out the numbers 564, 188, 692, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.