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GCD of 580, 225, 583, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 225, 583, 490 quickly. Get the easiest ways to solve the greatest common divisor of 580, 225, 583, 490 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 225, 583, 490 with Factoring?

Given Input numbers are 580, 225, 583, 490

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

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (580, 225, 583, 490) = 1.

Find GCD of 580, 225, 583, 490 using Prime Factorization

Given numbers are 580, 225, 583, 490

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 583 are 11 x 53

Prime factors of 490 are 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 580, 225, 583, 490 using LCM Formula

Given numbers are 580, 225, 583, 490

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

Apply this formula for all numbers.

Step1:

LCM(580, 225) = 26100

GCD(580, 225) = ( 580 x 225 ) / 26100

= 580 / 225

= 580


Step2:

LCM(5, 583) = 2915

GCD(5, 583) = ( 5 x 583 ) / 2915

= 5 / 583

= 5


Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1


So, Greatest Common Divisor of 580, 225, 583, 490 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 225, 583, 490

Given numbers are 580, 225, 583, 490
The greatest common divisor of numbers 580, 225, 583, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 225, 583, 490 is 1.

FAQs on GCD of 580, 225, 583, 490 Calculator

1. What is the GCD of 580, 225, 583, 490?

GCD of given numbers 580, 225, 583, 490 is 1


2. How to calculate the greatest common divisor of 580, 225, 583, 490?

We can find the highest common divisor of 580, 225, 583, 490 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 580, 225, 583, 490 i.e 1.


3. How can I use the GCD of 580, 225, 583, 490Calculator?

Out the numbers 580, 225, 583, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.