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GCD of 910, 378, 231 Calculator

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


Online GCD Calculator is useful to find the GCD of 910, 378, 231 quickly. Get the easiest ways to solve the greatest common divisor of 910, 378, 231 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 910, 378, 231 with Factoring?

Given Input numbers are 910, 378, 231

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

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (910, 378, 231) = 7.

Find GCD of 910, 378, 231 using Prime Factorization

Given numbers are 910, 378, 231

The list of prime factors of all numbers are

Prime factors of 910 are 2 x 5 x 7 x 13

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

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 71

Therefore, GCD of 910, 378, 231 is 7.

Steps to Calculate GCD of 910, 378, 231 using LCM Formula

Given numbers are 910, 378, 231

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

Apply this formula for all numbers.

Step1:

LCM(910, 378) = 24570

GCD(910, 378) = ( 910 x 378 ) / 24570

= 910 / 378

= 910


Step2:

LCM(14, 231) = 462

GCD(14, 231) = ( 14 x 231 ) / 462

= 14 / 231

= 14


So, Greatest Common Divisor of 910, 378, 231 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 910, 378, 231

Given numbers are 910, 378, 231
The greatest common divisor of numbers 910, 378, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 910, 378, 231 is 7.

FAQs on GCD of 910, 378, 231 Calculator

1. What is the GCD of 910, 378, 231?

GCD of given numbers 910, 378, 231 is 7


2. How to calculate the greatest common divisor of 910, 378, 231?

We can find the highest common divisor of 910, 378, 231 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 910, 378, 231 i.e 7.


3. How can I use the GCD of 910, 378, 231Calculator?

Out the numbers 910, 378, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.