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GCD of 676, 338, 303, 213 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, 338, 303, 213 quickly. Get the easiest ways to solve the greatest common divisor of 676, 338, 303, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 338, 303, 213 with Factoring?

Given Input numbers are 676, 338, 303, 213

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213


GCD of numbers is the greatest common divisor

So, the GCD (676, 338, 303, 213) = 1.

Find GCD of 676, 338, 303, 213 using Prime Factorization

Given numbers are 676, 338, 303, 213

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 303 are 3 x 101

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 676, 338, 303, 213 using LCM Formula

Given numbers are 676, 338, 303, 213

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

Apply this formula for all numbers.

Step1:

LCM(676, 338) = 676

GCD(676, 338) = ( 676 x 338 ) / 676

= 676 / 338

= 676


Step2:

LCM(338, 303) = 102414

GCD(338, 303) = ( 338 x 303 ) / 102414

= 338 / 303

= 338


Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1


So, Greatest Common Divisor of 676, 338, 303, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 338, 303, 213

Given numbers are 676, 338, 303, 213
The greatest common divisor of numbers 676, 338, 303, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 338, 303, 213 is 1.

FAQs on GCD of 676, 338, 303, 213 Calculator

1. What is the GCD of 676, 338, 303, 213?

GCD of given numbers 676, 338, 303, 213 is 1


2. How to calculate the greatest common divisor of 676, 338, 303, 213?

We can find the highest common divisor of 676, 338, 303, 213 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, 338, 303, 213 i.e 1.


3. How can I use the GCD of 676, 338, 303, 213Calculator?

Out the numbers 676, 338, 303, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.