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GCD of 580, 990, 973, 224 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, 990, 973, 224 quickly. Get the easiest ways to solve the greatest common divisor of 580, 990, 973, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 990, 973, 224 with Factoring?

Given Input numbers are 580, 990, 973, 224

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (580, 990, 973, 224) = 1.

Find GCD of 580, 990, 973, 224 using Prime Factorization

Given numbers are 580, 990, 973, 224

The list of prime factors of all numbers are

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 973 are 7 x 139

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 580, 990, 973, 224 using LCM Formula

Given numbers are 580, 990, 973, 224

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

Apply this formula for all numbers.

Step1:

LCM(580, 990) = 57420

GCD(580, 990) = ( 580 x 990 ) / 57420

= 580 / 990

= 580


Step2:

LCM(10, 973) = 9730

GCD(10, 973) = ( 10 x 973 ) / 9730

= 10 / 973

= 10


Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1


So, Greatest Common Divisor of 580, 990, 973, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 990, 973, 224

Given numbers are 580, 990, 973, 224
The greatest common divisor of numbers 580, 990, 973, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 990, 973, 224 is 1.

FAQs on GCD of 580, 990, 973, 224 Calculator

1. What is the GCD of 580, 990, 973, 224?

GCD of given numbers 580, 990, 973, 224 is 1


2. How to calculate the greatest common divisor of 580, 990, 973, 224?

We can find the highest common divisor of 580, 990, 973, 224 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, 990, 973, 224 i.e 1.


3. How can I use the GCD of 580, 990, 973, 224Calculator?

Out the numbers 580, 990, 973, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.