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GCD of 816, 870, 672, 644 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 870, 672, 644 quickly. Get the easiest ways to solve the greatest common divisor of 816, 870, 672, 644 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 870, 672, 644 with Factoring?

Given Input numbers are 816, 870, 672, 644

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (816, 870, 672, 644) = 2.

Find GCD of 816, 870, 672, 644 using Prime Factorization

Given numbers are 816, 870, 672, 644

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 21

Therefore, GCD of 816, 870, 672, 644 is 2.

Steps to Calculate GCD of 816, 870, 672, 644 using LCM Formula

Given numbers are 816, 870, 672, 644

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

Apply this formula for all numbers.

Step1:

LCM(816, 870) = 118320

GCD(816, 870) = ( 816 x 870 ) / 118320

= 816 / 870

= 816


Step2:

LCM(6, 672) = 672

GCD(6, 672) = ( 6 x 672 ) / 672

= 6 / 672

= 6


Step3:

LCM(6, 644) = 1932

GCD(6, 644) = ( 6 x 644 ) / 1932

= 6 / 644

= 6


So, Greatest Common Divisor of 816, 870, 672, 644 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 870, 672, 644

Given numbers are 816, 870, 672, 644
The greatest common divisor of numbers 816, 870, 672, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 870, 672, 644 is 2.

FAQs on GCD of 816, 870, 672, 644 Calculator

1. What is the GCD of 816, 870, 672, 644?

GCD of given numbers 816, 870, 672, 644 is 2


2. How to calculate the greatest common divisor of 816, 870, 672, 644?

We can find the highest common divisor of 816, 870, 672, 644 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 816, 870, 672, 644 i.e 2.


3. How can I use the GCD of 816, 870, 672, 644Calculator?

Out the numbers 816, 870, 672, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.