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GCD of 722, 378, 664, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 722, 378, 664, 672 quickly. Get the easiest ways to solve the greatest common divisor of 722, 378, 664, 672 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 722, 378, 664, 672 with Factoring?

Given Input numbers are 722, 378, 664, 672

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

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


GCD of numbers is the greatest common divisor

So, the GCD (722, 378, 664, 672) = 2.

Find GCD of 722, 378, 664, 672 using Prime Factorization

Given numbers are 722, 378, 664, 672

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 664 are 2 x 2 x 2 x 83

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

The highest common occurrence is 21

Therefore, GCD of 722, 378, 664, 672 is 2.

Steps to Calculate GCD of 722, 378, 664, 672 using LCM Formula

Given numbers are 722, 378, 664, 672

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

Apply this formula for all numbers.

Step1:

LCM(722, 378) = 136458

GCD(722, 378) = ( 722 x 378 ) / 136458

= 722 / 378

= 722


Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2


So, Greatest Common Divisor of 722, 378, 664, 672 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 722, 378, 664, 672

Given numbers are 722, 378, 664, 672
The greatest common divisor of numbers 722, 378, 664, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 378, 664, 672 is 2.

FAQs on GCD of 722, 378, 664, 672 Calculator

1. What is the GCD of 722, 378, 664, 672?

GCD of given numbers 722, 378, 664, 672 is 2


2. How to calculate the greatest common divisor of 722, 378, 664, 672?

We can find the highest common divisor of 722, 378, 664, 672 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 722, 378, 664, 672 i.e 2.


3. How can I use the GCD of 722, 378, 664, 672Calculator?

Out the numbers 722, 378, 664, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.