GCD of 260, 140, 759 Calculator

Given Input numbers are 260, 140, 759

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 260, 140, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 140, 759 is 1.

Therefore, GCD of numbers 260, 140, 759 is 1

Given Input Data is 260, 140, 759

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 759 is 3 x 11 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(260, 140) = 1820

GCD(260, 140) = ( 260 x 140 ) / 1820

GCD(260, 140) = 36400 / 1820

GCD(260, 140) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 759

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

LCM(20, 759) = 15180

GCD(20, 759) = ( 20 x 759 ) / 15180

GCD(20, 759) = 15180 / 15180

GCD(20, 759) = 1

GCD of 260, 140, 759 is 1

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1. What is the GCD of 260, 140, 759?

GCD of 260, 140, 759 is 1

2. Where do I get the detailed procedure to find GCD of 260, 140, 759?

You can find a detailed procedure to find GCD of 260, 140, 759 on our page.

3. How to find GCD of 260, 140, 759 on a calculator?

You can find the GCD of 260, 140, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.