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GCD of 840, 578, 187, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 578, 187, 872 quickly. Get the easiest ways to solve the greatest common divisor of 840, 578, 187, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 578, 187, 872 with Factoring?

Given Input numbers are 840, 578, 187, 872

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (840, 578, 187, 872) = 1.

Find GCD of 840, 578, 187, 872 using Prime Factorization

Given numbers are 840, 578, 187, 872

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 578 are 2 x 17 x 17

Prime factors of 187 are 11 x 17

Prime factors of 872 are 2 x 2 x 2 x 109

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

Steps to Calculate GCD of 840, 578, 187, 872 using LCM Formula

Given numbers are 840, 578, 187, 872

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

Apply this formula for all numbers.

Step1:

LCM(840, 578) = 242760

GCD(840, 578) = ( 840 x 578 ) / 242760

= 840 / 578

= 840


Step2:

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

= 2 / 187

= 2


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 840, 578, 187, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 578, 187, 872

Given numbers are 840, 578, 187, 872
The greatest common divisor of numbers 840, 578, 187, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 578, 187, 872 is 1.

FAQs on GCD of 840, 578, 187, 872 Calculator

1. What is the GCD of 840, 578, 187, 872?

GCD of given numbers 840, 578, 187, 872 is 1


2. How to calculate the greatest common divisor of 840, 578, 187, 872?

We can find the highest common divisor of 840, 578, 187, 872 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 840, 578, 187, 872 i.e 1.


3. How can I use the GCD of 840, 578, 187, 872Calculator?

Out the numbers 840, 578, 187, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.