GCD of 914, 108, 516, 425 Calculator

Given Input numbers are 914, 108, 516, 425

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 914, 108, 516, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 108, 516, 425 is 1.

Therefore, GCD of numbers 914, 108, 516, 425 is 1

Given Input Data is 914, 108, 516, 425

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 425 is 5 x 5 x 17

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(914, 108) = 49356

GCD(914, 108) = ( 914 x 108 ) / 49356

GCD(914, 108) = 98712 / 49356

GCD(914, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 914, 108, 516, 425 is 1

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1. What is the GCD of 914, 108, 516, 425?

GCD of 914, 108, 516, 425 is 1

2. Where do I get the detailed procedure to find GCD of 914, 108, 516, 425?

You can find a detailed procedure to find GCD of 914, 108, 516, 425 on our page.

3. How to find GCD of 914, 108, 516, 425 on a calculator?

You can find the GCD of 914, 108, 516, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.