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GCD of 378, 252, 315, 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 378, 252, 315, 653 quickly. Get the easiest ways to solve the greatest common divisor of 378, 252, 315, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 252, 315, 653 with Factoring?

Given Input numbers are 378, 252, 315, 653

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

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 (378, 252, 315, 653) = 1.

Find GCD of 378, 252, 315, 653 using Prime Factorization

Given numbers are 378, 252, 315, 653

The list of prime factors of all numbers are

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

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 378, 252, 315, 653 using LCM Formula

Given numbers are 378, 252, 315, 653

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

Apply this formula for all numbers.

Step1:

LCM(378, 252) = 756

GCD(378, 252) = ( 378 x 252 ) / 756

= 378 / 252

= 378


Step2:

LCM(126, 315) = 630

GCD(126, 315) = ( 126 x 315 ) / 630

= 126 / 315

= 126


Step3:

LCM(63, 653) = 41139

GCD(63, 653) = ( 63 x 653 ) / 41139

= 63 / 653

= 63


So, Greatest Common Divisor of 378, 252, 315, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 252, 315, 653

Given numbers are 378, 252, 315, 653
The greatest common divisor of numbers 378, 252, 315, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 252, 315, 653 is 1.

FAQs on GCD of 378, 252, 315, 653 Calculator

1. What is the GCD of 378, 252, 315, 653?

GCD of given numbers 378, 252, 315, 653 is 1


2. How to calculate the greatest common divisor of 378, 252, 315, 653?

We can find the highest common divisor of 378, 252, 315, 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 378, 252, 315, 653 i.e 1.


3. How can I use the GCD of 378, 252, 315, 653Calculator?

Out the numbers 378, 252, 315, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.