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GCD of 476, 213, 398, 580 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 213, 398, 580 quickly. Get the easiest ways to solve the greatest common divisor of 476, 213, 398, 580 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 213, 398, 580 with Factoring?

Given Input numbers are 476, 213, 398, 580

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580


GCD of numbers is the greatest common divisor

So, the GCD (476, 213, 398, 580) = 1.

Find GCD of 476, 213, 398, 580 using Prime Factorization

Given numbers are 476, 213, 398, 580

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 213 are 3 x 71

Prime factors of 398 are 2 x 199

Prime factors of 580 are 2 x 2 x 5 x 29

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

Steps to Calculate GCD of 476, 213, 398, 580 using LCM Formula

Given numbers are 476, 213, 398, 580

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

Apply this formula for all numbers.

Step1:

LCM(476, 213) = 101388

GCD(476, 213) = ( 476 x 213 ) / 101388

= 476 / 213

= 476


Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


Step3:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1


So, Greatest Common Divisor of 476, 213, 398, 580 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 213, 398, 580

Given numbers are 476, 213, 398, 580
The greatest common divisor of numbers 476, 213, 398, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 213, 398, 580 is 1.

FAQs on GCD of 476, 213, 398, 580 Calculator

1. What is the GCD of 476, 213, 398, 580?

GCD of given numbers 476, 213, 398, 580 is 1


2. How to calculate the greatest common divisor of 476, 213, 398, 580?

We can find the highest common divisor of 476, 213, 398, 580 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 476, 213, 398, 580 i.e 1.


3. How can I use the GCD of 476, 213, 398, 580Calculator?

Out the numbers 476, 213, 398, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.