GCD of 259, 827, 700, 130 Calculator

Given Input numbers are 259, 827, 700, 130

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 259, 827, 700, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 827, 700, 130 is 1.

Therefore, GCD of numbers 259, 827, 700, 130 is 1

Given Input Data is 259, 827, 700, 130

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 827 is 827

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 130 is 2 x 5 x 13

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(259, 827) = 214193

GCD(259, 827) = ( 259 x 827 ) / 214193

GCD(259, 827) = 214193 / 214193

GCD(259, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 259, 827, 700, 130 is 1

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1. What is the GCD of 259, 827, 700, 130?

GCD of 259, 827, 700, 130 is 1

2. Where do I get the detailed procedure to find GCD of 259, 827, 700, 130?

You can find a detailed procedure to find GCD of 259, 827, 700, 130 on our page.

3. How to find GCD of 259, 827, 700, 130 on a calculator?

You can find the GCD of 259, 827, 700, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.