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GCD of 231, 110, 902, 858 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 110, 902, 858 quickly. Get the easiest ways to solve the greatest common divisor of 231, 110, 902, 858 i.e 11 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 110, 902, 858 with Factoring?

Given Input numbers are 231, 110, 902, 858

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

Divisors of 231 :

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

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858


GCD of numbers is the greatest common divisor

So, the GCD (231, 110, 902, 858) = 11.

Find GCD of 231, 110, 902, 858 using Prime Factorization

Given numbers are 231, 110, 902, 858

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 110 are 2 x 5 x 11

Prime factors of 902 are 2 x 11 x 41

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 111

Therefore, GCD of 231, 110, 902, 858 is 11.

Steps to Calculate GCD of 231, 110, 902, 858 using LCM Formula

Given numbers are 231, 110, 902, 858

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

Apply this formula for all numbers.

Step1:

LCM(231, 110) = 2310

GCD(231, 110) = ( 231 x 110 ) / 2310

= 231 / 110

= 231


Step2:

LCM(11, 902) = 902

GCD(11, 902) = ( 11 x 902 ) / 902

= 11 / 902

= 11


Step3:

LCM(11, 858) = 858

GCD(11, 858) = ( 11 x 858 ) / 858

= 11 / 858

= 11


So, Greatest Common Divisor of 231, 110, 902, 858 is 11

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 110, 902, 858

Given numbers are 231, 110, 902, 858
The greatest common divisor of numbers 231, 110, 902, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 110, 902, 858 is 11.

FAQs on GCD of 231, 110, 902, 858 Calculator

1. What is the GCD of 231, 110, 902, 858?

GCD of given numbers 231, 110, 902, 858 is 11


2. How to calculate the greatest common divisor of 231, 110, 902, 858?

We can find the highest common divisor of 231, 110, 902, 858 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 231, 110, 902, 858 i.e 11.


3. How can I use the GCD of 231, 110, 902, 858Calculator?

Out the numbers 231, 110, 902, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.