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GCD of 642, 774, 844, 708 Calculator

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


Online GCD Calculator is useful to find the GCD of 642, 774, 844, 708 quickly. Get the easiest ways to solve the greatest common divisor of 642, 774, 844, 708 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 642, 774, 844, 708 with Factoring?

Given Input numbers are 642, 774, 844, 708

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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


GCD of numbers is the greatest common divisor

So, the GCD (642, 774, 844, 708) = 2.

Find GCD of 642, 774, 844, 708 using Prime Factorization

Given numbers are 642, 774, 844, 708

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 844 are 2 x 2 x 211

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 21

Therefore, GCD of 642, 774, 844, 708 is 2.

Steps to Calculate GCD of 642, 774, 844, 708 using LCM Formula

Given numbers are 642, 774, 844, 708

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

Apply this formula for all numbers.

Step1:

LCM(642, 774) = 82818

GCD(642, 774) = ( 642 x 774 ) / 82818

= 642 / 774

= 642


Step2:

LCM(6, 844) = 2532

GCD(6, 844) = ( 6 x 844 ) / 2532

= 6 / 844

= 6


Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


So, Greatest Common Divisor of 642, 774, 844, 708 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 642, 774, 844, 708

Given numbers are 642, 774, 844, 708
The greatest common divisor of numbers 642, 774, 844, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 774, 844, 708 is 2.

FAQs on GCD of 642, 774, 844, 708 Calculator

1. What is the GCD of 642, 774, 844, 708?

GCD of given numbers 642, 774, 844, 708 is 2


2. How to calculate the greatest common divisor of 642, 774, 844, 708?

We can find the highest common divisor of 642, 774, 844, 708 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 642, 774, 844, 708 i.e 2.


3. How can I use the GCD of 642, 774, 844, 708Calculator?

Out the numbers 642, 774, 844, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.