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GCD of 840, 708, 594 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, 708, 594 quickly. Get the easiest ways to solve the greatest common divisor of 840, 708, 594 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 708, 594 with Factoring?

Given Input numbers are 840, 708, 594

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 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 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594


GCD of numbers is the greatest common divisor

So, the GCD (840, 708, 594) = 6.

Find GCD of 840, 708, 594 using Prime Factorization

Given numbers are 840, 708, 594

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 708 are 2 x 2 x 3 x 59

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

The highest common occurrence is 21 x 31

Therefore, GCD of 840, 708, 594 is 6.

Steps to Calculate GCD of 840, 708, 594 using LCM Formula

Given numbers are 840, 708, 594

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

Apply this formula for all numbers.

Step1:

LCM(840, 708) = 49560

GCD(840, 708) = ( 840 x 708 ) / 49560

= 840 / 708

= 840


Step2:

LCM(12, 594) = 1188

GCD(12, 594) = ( 12 x 594 ) / 1188

= 12 / 594

= 12


So, Greatest Common Divisor of 840, 708, 594 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 708, 594

Given numbers are 840, 708, 594
The greatest common divisor of numbers 840, 708, 594 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 708, 594 is 6.

FAQs on GCD of 840, 708, 594 Calculator

1. What is the GCD of 840, 708, 594?

GCD of given numbers 840, 708, 594 is 6


2. How to calculate the greatest common divisor of 840, 708, 594?

We can find the highest common divisor of 840, 708, 594 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, 708, 594 i.e 6.


3. How can I use the GCD of 840, 708, 594Calculator?

Out the numbers 840, 708, 594 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.