GCD of 130, 862, 664, 825 Calculator

Given Input numbers are 130, 862, 664, 825

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

Divisors of 130

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

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 130, 862, 664, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 862, 664, 825 is 1.

Therefore, GCD of numbers 130, 862, 664, 825 is 1

Given Input Data is 130, 862, 664, 825

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 862 is 2 x 431

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(130, 862) = 56030

GCD(130, 862) = ( 130 x 862 ) / 56030

GCD(130, 862) = 112060 / 56030

GCD(130, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 130, 862, 664, 825 is 1

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1. What is the GCD of 130, 862, 664, 825?

GCD of 130, 862, 664, 825 is 1

2. Where do I get the detailed procedure to find GCD of 130, 862, 664, 825?

You can find a detailed procedure to find GCD of 130, 862, 664, 825 on our page.

3. How to find GCD of 130, 862, 664, 825 on a calculator?

You can find the GCD of 130, 862, 664, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.