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GCD of 504, 646, 612, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 504, 646, 612, 653 quickly. Get the easiest ways to solve the greatest common divisor of 504, 646, 612, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 646, 612, 653 with Factoring?

Given Input numbers are 504, 646, 612, 653

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

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (504, 646, 612, 653) = 1.

Find GCD of 504, 646, 612, 653 using Prime Factorization

Given numbers are 504, 646, 612, 653

The list of prime factors of all numbers are

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

Prime factors of 646 are 2 x 17 x 19

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 653 are 653

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

Steps to Calculate GCD of 504, 646, 612, 653 using LCM Formula

Given numbers are 504, 646, 612, 653

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

Apply this formula for all numbers.

Step1:

LCM(504, 646) = 162792

GCD(504, 646) = ( 504 x 646 ) / 162792

= 504 / 646

= 504


Step2:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2


Step3:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2


So, Greatest Common Divisor of 504, 646, 612, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 646, 612, 653

Given numbers are 504, 646, 612, 653
The greatest common divisor of numbers 504, 646, 612, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 646, 612, 653 is 1.

FAQs on GCD of 504, 646, 612, 653 Calculator

1. What is the GCD of 504, 646, 612, 653?

GCD of given numbers 504, 646, 612, 653 is 1


2. How to calculate the greatest common divisor of 504, 646, 612, 653?

We can find the highest common divisor of 504, 646, 612, 653 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 504, 646, 612, 653 i.e 1.


3. How can I use the GCD of 504, 646, 612, 653Calculator?

Out the numbers 504, 646, 612, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.