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GCD of 213, 600, 580, 166 Calculator

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


Online GCD Calculator is useful to find the GCD of 213, 600, 580, 166 quickly. Get the easiest ways to solve the greatest common divisor of 213, 600, 580, 166 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 213, 600, 580, 166 with Factoring?

Given Input numbers are 213, 600, 580, 166

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166


GCD of numbers is the greatest common divisor

So, the GCD (213, 600, 580, 166) = 1.

Find GCD of 213, 600, 580, 166 using Prime Factorization

Given numbers are 213, 600, 580, 166

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 166 are 2 x 83

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

Steps to Calculate GCD of 213, 600, 580, 166 using LCM Formula

Given numbers are 213, 600, 580, 166

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

Apply this formula for all numbers.

Step1:

LCM(213, 600) = 42600

GCD(213, 600) = ( 213 x 600 ) / 42600

= 213 / 600

= 213


Step2:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3


Step3:

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

= 1 / 166

= 1


So, Greatest Common Divisor of 213, 600, 580, 166 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 213, 600, 580, 166

Given numbers are 213, 600, 580, 166
The greatest common divisor of numbers 213, 600, 580, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 600, 580, 166 is 1.

FAQs on GCD of 213, 600, 580, 166 Calculator

1. What is the GCD of 213, 600, 580, 166?

GCD of given numbers 213, 600, 580, 166 is 1


2. How to calculate the greatest common divisor of 213, 600, 580, 166?

We can find the highest common divisor of 213, 600, 580, 166 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 213, 600, 580, 166 i.e 1.


3. How can I use the GCD of 213, 600, 580, 166Calculator?

Out the numbers 213, 600, 580, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.