GCD of 920, 482, 507, 700 Calculator

Given Input numbers are 920, 482, 507, 700

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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

Greatest Common Divisior

We found the divisors of 920, 482, 507, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 482, 507, 700 is 1.

Therefore, GCD of numbers 920, 482, 507, 700 is 1

Given Input Data is 920, 482, 507, 700

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 482 is 2 x 241

Prime Factorization of 507 is 3 x 13 x 13

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

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(920, 482) = 221720

GCD(920, 482) = ( 920 x 482 ) / 221720

GCD(920, 482) = 443440 / 221720

GCD(920, 482) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

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

GCD of 920, 482, 507, 700 is 1

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1. What is the GCD of 920, 482, 507, 700?

GCD of 920, 482, 507, 700 is 1

2. Where do I get the detailed procedure to find GCD of 920, 482, 507, 700?

You can find a detailed procedure to find GCD of 920, 482, 507, 700 on our page.

3. How to find GCD of 920, 482, 507, 700 on a calculator?

You can find the GCD of 920, 482, 507, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.