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GCD of 766, 672, 522 Calculator

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


Online GCD Calculator is useful to find the GCD of 766, 672, 522 quickly. Get the easiest ways to solve the greatest common divisor of 766, 672, 522 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 766, 672, 522 with Factoring?

Given Input numbers are 766, 672, 522

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (766, 672, 522) = 2.

Find GCD of 766, 672, 522 using Prime Factorization

Given numbers are 766, 672, 522

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 766, 672, 522 is 2.

Steps to Calculate GCD of 766, 672, 522 using LCM Formula

Given numbers are 766, 672, 522

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

Apply this formula for all numbers.

Step1:

LCM(766, 672) = 257376

GCD(766, 672) = ( 766 x 672 ) / 257376

= 766 / 672

= 766


Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2


So, Greatest Common Divisor of 766, 672, 522 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 766, 672, 522

Given numbers are 766, 672, 522
The greatest common divisor of numbers 766, 672, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 672, 522 is 2.

FAQs on GCD of 766, 672, 522 Calculator

1. What is the GCD of 766, 672, 522?

GCD of given numbers 766, 672, 522 is 2


2. How to calculate the greatest common divisor of 766, 672, 522?

We can find the highest common divisor of 766, 672, 522 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 766, 672, 522 i.e 2.


3. How can I use the GCD of 766, 672, 522Calculator?

Out the numbers 766, 672, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.