GCD of 925, 460, 869 Calculator

Given Input numbers are 925, 460, 869

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 925, 460, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 460, 869 is 1.

Therefore, GCD of numbers 925, 460, 869 is 1

Given Input Data is 925, 460, 869

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

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 869 is 11 x 79

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(925, 460) = 85100

GCD(925, 460) = ( 925 x 460 ) / 85100

GCD(925, 460) = 425500 / 85100

GCD(925, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 869

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

LCM(5, 869) = 4345

GCD(5, 869) = ( 5 x 869 ) / 4345

GCD(5, 869) = 4345 / 4345

GCD(5, 869) = 1

GCD of 925, 460, 869 is 1

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1. What is the GCD of 925, 460, 869?

GCD of 925, 460, 869 is 1

2. Where do I get the detailed procedure to find GCD of 925, 460, 869?

You can find a detailed procedure to find GCD of 925, 460, 869 on our page.

3. How to find GCD of 925, 460, 869 on a calculator?

You can find the GCD of 925, 460, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.