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GCD of 660, 590, 260 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 590, 260 quickly. Get the easiest ways to solve the greatest common divisor of 660, 590, 260 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 590, 260 with Factoring?

Given Input numbers are 660, 590, 260

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260


GCD of numbers is the greatest common divisor

So, the GCD (660, 590, 260) = 10.

Find GCD of 660, 590, 260 using Prime Factorization

Given numbers are 660, 590, 260

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 590 are 2 x 5 x 59

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 21 x 51

Therefore, GCD of 660, 590, 260 is 10.

Steps to Calculate GCD of 660, 590, 260 using LCM Formula

Given numbers are 660, 590, 260

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

Apply this formula for all numbers.

Step1:

LCM(660, 590) = 38940

GCD(660, 590) = ( 660 x 590 ) / 38940

= 660 / 590

= 660


Step2:

LCM(10, 260) = 260

GCD(10, 260) = ( 10 x 260 ) / 260

= 10 / 260

= 10


So, Greatest Common Divisor of 660, 590, 260 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 590, 260

Given numbers are 660, 590, 260
The greatest common divisor of numbers 660, 590, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 590, 260 is 10.

FAQs on GCD of 660, 590, 260 Calculator

1. What is the GCD of 660, 590, 260?

GCD of given numbers 660, 590, 260 is 10


2. How to calculate the greatest common divisor of 660, 590, 260?

We can find the highest common divisor of 660, 590, 260 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 660, 590, 260 i.e 10.


3. How can I use the GCD of 660, 590, 260Calculator?

Out the numbers 660, 590, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.