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GCD of 378, 724, 684, 425 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, 724, 684, 425 quickly. Get the easiest ways to solve the greatest common divisor of 378, 724, 684, 425 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 724, 684, 425 with Factoring?

Given Input numbers are 378, 724, 684, 425

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425


GCD of numbers is the greatest common divisor

So, the GCD (378, 724, 684, 425) = 1.

Find GCD of 378, 724, 684, 425 using Prime Factorization

Given numbers are 378, 724, 684, 425

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 724 are 2 x 2 x 181

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 425 are 5 x 5 x 17

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

Steps to Calculate GCD of 378, 724, 684, 425 using LCM Formula

Given numbers are 378, 724, 684, 425

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

Apply this formula for all numbers.

Step1:

LCM(378, 724) = 136836

GCD(378, 724) = ( 378 x 724 ) / 136836

= 378 / 724

= 378


Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2


Step3:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2


So, Greatest Common Divisor of 378, 724, 684, 425 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 724, 684, 425

Given numbers are 378, 724, 684, 425
The greatest common divisor of numbers 378, 724, 684, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 724, 684, 425 is 1.

FAQs on GCD of 378, 724, 684, 425 Calculator

1. What is the GCD of 378, 724, 684, 425?

GCD of given numbers 378, 724, 684, 425 is 1


2. How to calculate the greatest common divisor of 378, 724, 684, 425?

We can find the highest common divisor of 378, 724, 684, 425 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, 724, 684, 425 i.e 1.


3. How can I use the GCD of 378, 724, 684, 425Calculator?

Out the numbers 378, 724, 684, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.