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GCD of 690, 500, 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 690, 500, 260 quickly. Get the easiest ways to solve the greatest common divisor of 690, 500, 260 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 500, 260 with Factoring?

Given Input numbers are 690, 500, 260

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 (690, 500, 260) = 10.

Find GCD of 690, 500, 260 using Prime Factorization

Given numbers are 690, 500, 260

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

The highest common occurrence is 21 x 51

Therefore, GCD of 690, 500, 260 is 10.

Steps to Calculate GCD of 690, 500, 260 using LCM Formula

Given numbers are 690, 500, 260

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

Apply this formula for all numbers.

Step1:

LCM(690, 500) = 34500

GCD(690, 500) = ( 690 x 500 ) / 34500

= 690 / 500

= 690

Step2:

LCM(10, 260) = 260

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

= 10 / 260

= 10


So, Greatest Common Divisor of 690, 500, 260 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 690, 500, 260

Given numbers are 690, 500, 260
The greatest common divisor of numbers 690, 500, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 500, 260 is 10.

FAQs on GCD of 690, 500, 260 Calculator

1. What is the GCD of 690, 500, 260?

GCD of given numbers 690, 500, 260 is 10

2. How to calculate the greatest common divisor of 690, 500, 260?

We can find the highest common divisor of 690, 500, 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 690, 500, 260 i.e 10.

3. How can I use the GCD of 690, 500, 260Calculator?

Out the numbers 690, 500, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.