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GCD of 231, 595, 770, 266 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, 595, 770, 266 quickly. Get the easiest ways to solve the greatest common divisor of 231, 595, 770, 266 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 595, 770, 266 with Factoring?

Given Input numbers are 231, 595, 770, 266

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 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266


GCD of numbers is the greatest common divisor

So, the GCD (231, 595, 770, 266) = 7.

Find GCD of 231, 595, 770, 266 using Prime Factorization

Given numbers are 231, 595, 770, 266

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 595 are 5 x 7 x 17

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 71

Therefore, GCD of 231, 595, 770, 266 is 7.

Steps to Calculate GCD of 231, 595, 770, 266 using LCM Formula

Given numbers are 231, 595, 770, 266

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

Apply this formula for all numbers.

Step1:

LCM(231, 595) = 19635

GCD(231, 595) = ( 231 x 595 ) / 19635

= 231 / 595

= 231


Step2:

LCM(7, 770) = 770

GCD(7, 770) = ( 7 x 770 ) / 770

= 7 / 770

= 7


Step3:

LCM(7, 266) = 266

GCD(7, 266) = ( 7 x 266 ) / 266

= 7 / 266

= 7


So, Greatest Common Divisor of 231, 595, 770, 266 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 595, 770, 266

Given numbers are 231, 595, 770, 266
The greatest common divisor of numbers 231, 595, 770, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 595, 770, 266 is 7.

FAQs on GCD of 231, 595, 770, 266 Calculator

1. What is the GCD of 231, 595, 770, 266?

GCD of given numbers 231, 595, 770, 266 is 7


2. How to calculate the greatest common divisor of 231, 595, 770, 266?

We can find the highest common divisor of 231, 595, 770, 266 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, 595, 770, 266 i.e 7.


3. How can I use the GCD of 231, 595, 770, 266Calculator?

Out the numbers 231, 595, 770, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.