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GCD of 874, 108, 564, 587 Calculator

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


Online GCD Calculator is useful to find the GCD of 874, 108, 564, 587 quickly. Get the easiest ways to solve the greatest common divisor of 874, 108, 564, 587 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 108, 564, 587 with Factoring?

Given Input numbers are 874, 108, 564, 587

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587


GCD of numbers is the greatest common divisor

So, the GCD (874, 108, 564, 587) = 1.

Find GCD of 874, 108, 564, 587 using Prime Factorization

Given numbers are 874, 108, 564, 587

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 587 are 587

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

Steps to Calculate GCD of 874, 108, 564, 587 using LCM Formula

Given numbers are 874, 108, 564, 587

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

Apply this formula for all numbers.

Step1:

LCM(874, 108) = 47196

GCD(874, 108) = ( 874 x 108 ) / 47196

= 874 / 108

= 874


Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2


Step3:

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

= 2 / 587

= 2


So, Greatest Common Divisor of 874, 108, 564, 587 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 108, 564, 587

Given numbers are 874, 108, 564, 587
The greatest common divisor of numbers 874, 108, 564, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 108, 564, 587 is 1.

FAQs on GCD of 874, 108, 564, 587 Calculator

1. What is the GCD of 874, 108, 564, 587?

GCD of given numbers 874, 108, 564, 587 is 1


2. How to calculate the greatest common divisor of 874, 108, 564, 587?

We can find the highest common divisor of 874, 108, 564, 587 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 874, 108, 564, 587 i.e 1.


3. How can I use the GCD of 874, 108, 564, 587Calculator?

Out the numbers 874, 108, 564, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.