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GCD of 266, 770, 822 Calculator

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


Online GCD Calculator is useful to find the GCD of 266, 770, 822 quickly. Get the easiest ways to solve the greatest common divisor of 266, 770, 822 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 266, 770, 822 with Factoring?

Given Input numbers are 266, 770, 822

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

Divisors of 266 :

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

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

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822


GCD of numbers is the greatest common divisor

So, the GCD (266, 770, 822) = 2.

Find GCD of 266, 770, 822 using Prime Factorization

Given numbers are 266, 770, 822

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

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

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 21

Therefore, GCD of 266, 770, 822 is 2.

Steps to Calculate GCD of 266, 770, 822 using LCM Formula

Given numbers are 266, 770, 822

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

Apply this formula for all numbers.

Step1:

LCM(266, 770) = 14630

GCD(266, 770) = ( 266 x 770 ) / 14630

= 266 / 770

= 266


Step2:

LCM(14, 822) = 5754

GCD(14, 822) = ( 14 x 822 ) / 5754

= 14 / 822

= 14


So, Greatest Common Divisor of 266, 770, 822 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 266, 770, 822

Given numbers are 266, 770, 822
The greatest common divisor of numbers 266, 770, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 770, 822 is 2.

FAQs on GCD of 266, 770, 822 Calculator

1. What is the GCD of 266, 770, 822?

GCD of given numbers 266, 770, 822 is 2


2. How to calculate the greatest common divisor of 266, 770, 822?

We can find the highest common divisor of 266, 770, 822 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 266, 770, 822 i.e 2.


3. How can I use the GCD of 266, 770, 822Calculator?

Out the numbers 266, 770, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.