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GCD of 473, 364, 419, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 473, 364, 419, 676 quickly. Get the easiest ways to solve the greatest common divisor of 473, 364, 419, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 473, 364, 419, 676 with Factoring?

Given Input numbers are 473, 364, 419, 676

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

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 419 :

The positive integer divisors of 419 that completely divides 419 are.

1, 419

Divisors of 676 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (473, 364, 419, 676) = 1.

Find GCD of 473, 364, 419, 676 using Prime Factorization

Given numbers are 473, 364, 419, 676

The list of prime factors of all numbers are

Prime factors of 473 are 11 x 43

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 419 are 419

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

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

Steps to Calculate GCD of 473, 364, 419, 676 using LCM Formula

Given numbers are 473, 364, 419, 676

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

Apply this formula for all numbers.

Step1:

LCM(473, 364) = 172172

GCD(473, 364) = ( 473 x 364 ) / 172172

= 473 / 364

= 473


Step2:

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

= 1 / 419

= 1


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 473, 364, 419, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 473, 364, 419, 676

Given numbers are 473, 364, 419, 676
The greatest common divisor of numbers 473, 364, 419, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 473, 364, 419, 676 is 1.

FAQs on GCD of 473, 364, 419, 676 Calculator

1. What is the GCD of 473, 364, 419, 676?

GCD of given numbers 473, 364, 419, 676 is 1


2. How to calculate the greatest common divisor of 473, 364, 419, 676?

We can find the highest common divisor of 473, 364, 419, 676 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 473, 364, 419, 676 i.e 1.


3. How can I use the GCD of 473, 364, 419, 676Calculator?

Out the numbers 473, 364, 419, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.