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GCD of 676, 705, 12 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 705, 12 quickly. Get the easiest ways to solve the greatest common divisor of 676, 705, 12 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 705, 12 with Factoring?

Given Input numbers are 676, 705, 12

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12


GCD of numbers is the greatest common divisor

So, the GCD (676, 705, 12) = 1.

Find GCD of 676, 705, 12 using Prime Factorization

Given numbers are 676, 705, 12

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 705 are 3 x 5 x 47

Prime factors of 12 are 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 676, 705, 12 using LCM Formula

Given numbers are 676, 705, 12

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

Apply this formula for all numbers.

Step1:

LCM(676, 705) = 476580

GCD(676, 705) = ( 676 x 705 ) / 476580

= 676 / 705

= 676


Step2:

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

= 1 / 12

= 1


So, Greatest Common Divisor of 676, 705, 12 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 705, 12

Given numbers are 676, 705, 12
The greatest common divisor of numbers 676, 705, 12 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 705, 12 is 1.

FAQs on GCD of 676, 705, 12 Calculator

1. What is the GCD of 676, 705, 12?

GCD of given numbers 676, 705, 12 is 1


2. How to calculate the greatest common divisor of 676, 705, 12?

We can find the highest common divisor of 676, 705, 12 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 676, 705, 12 i.e 1.


3. How can I use the GCD of 676, 705, 12Calculator?

Out the numbers 676, 705, 12 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.