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GCD of 254, 225, 684, 378 Calculator

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


Online GCD Calculator is useful to find the GCD of 254, 225, 684, 378 quickly. Get the easiest ways to solve the greatest common divisor of 254, 225, 684, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 254, 225, 684, 378 with Factoring?

Given Input numbers are 254, 225, 684, 378

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

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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 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


GCD of numbers is the greatest common divisor

So, the GCD (254, 225, 684, 378) = 1.

Find GCD of 254, 225, 684, 378 using Prime Factorization

Given numbers are 254, 225, 684, 378

The list of prime factors of all numbers are

Prime factors of 254 are 2 x 127

Prime factors of 225 are 3 x 3 x 5 x 5

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

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

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

Steps to Calculate GCD of 254, 225, 684, 378 using LCM Formula

Given numbers are 254, 225, 684, 378

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

Apply this formula for all numbers.

Step1:

LCM(254, 225) = 57150

GCD(254, 225) = ( 254 x 225 ) / 57150

= 254 / 225

= 254


Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1


So, Greatest Common Divisor of 254, 225, 684, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 254, 225, 684, 378

Given numbers are 254, 225, 684, 378
The greatest common divisor of numbers 254, 225, 684, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 254, 225, 684, 378 is 1.

FAQs on GCD of 254, 225, 684, 378 Calculator

1. What is the GCD of 254, 225, 684, 378?

GCD of given numbers 254, 225, 684, 378 is 1


2. How to calculate the greatest common divisor of 254, 225, 684, 378?

We can find the highest common divisor of 254, 225, 684, 378 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 254, 225, 684, 378 i.e 1.


3. How can I use the GCD of 254, 225, 684, 378Calculator?

Out the numbers 254, 225, 684, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.