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GCD of 644, 504, 313, 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 644, 504, 313, 672 quickly. Get the easiest ways to solve the greatest common divisor of 644, 504, 313, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 644, 504, 313, 672 with Factoring?

Given Input numbers are 644, 504, 313, 672

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

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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 (644, 504, 313, 672) = 1.

Find GCD of 644, 504, 313, 672 using Prime Factorization

Given numbers are 644, 504, 313, 672

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 313 are 313

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

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

Steps to Calculate GCD of 644, 504, 313, 672 using LCM Formula

Given numbers are 644, 504, 313, 672

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

Apply this formula for all numbers.

Step1:

LCM(644, 504) = 11592

GCD(644, 504) = ( 644 x 504 ) / 11592

= 644 / 504

= 644


Step2:

LCM(28, 313) = 8764

GCD(28, 313) = ( 28 x 313 ) / 8764

= 28 / 313

= 28


Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


So, Greatest Common Divisor of 644, 504, 313, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 644, 504, 313, 672

Given numbers are 644, 504, 313, 672
The greatest common divisor of numbers 644, 504, 313, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 504, 313, 672 is 1.

FAQs on GCD of 644, 504, 313, 672 Calculator

1. What is the GCD of 644, 504, 313, 672?

GCD of given numbers 644, 504, 313, 672 is 1


2. How to calculate the greatest common divisor of 644, 504, 313, 672?

We can find the highest common divisor of 644, 504, 313, 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 644, 504, 313, 672 i.e 1.


3. How can I use the GCD of 644, 504, 313, 672Calculator?

Out the numbers 644, 504, 313, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.