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GCD of 378, 252, 897, 237 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, 897, 237 quickly. Get the easiest ways to solve the greatest common divisor of 378, 252, 897, 237 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 252, 897, 237 with Factoring?

Given Input numbers are 378, 252, 897, 237

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237


GCD of numbers is the greatest common divisor

So, the GCD (378, 252, 897, 237) = 3.

Find GCD of 378, 252, 897, 237 using Prime Factorization

Given numbers are 378, 252, 897, 237

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 897 are 3 x 13 x 23

Prime factors of 237 are 3 x 79

The highest common occurrence is 31

Therefore, GCD of 378, 252, 897, 237 is 3.

Steps to Calculate GCD of 378, 252, 897, 237 using LCM Formula

Given numbers are 378, 252, 897, 237

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, 897) = 37674

GCD(126, 897) = ( 126 x 897 ) / 37674

= 126 / 897

= 126


Step3:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3


So, Greatest Common Divisor of 378, 252, 897, 237 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 252, 897, 237

Given numbers are 378, 252, 897, 237
The greatest common divisor of numbers 378, 252, 897, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 252, 897, 237 is 3.

FAQs on GCD of 378, 252, 897, 237 Calculator

1. What is the GCD of 378, 252, 897, 237?

GCD of given numbers 378, 252, 897, 237 is 3


2. How to calculate the greatest common divisor of 378, 252, 897, 237?

We can find the highest common divisor of 378, 252, 897, 237 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, 897, 237 i.e 3.


3. How can I use the GCD of 378, 252, 897, 237Calculator?

Out the numbers 378, 252, 897, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.