GCD of 268, 625, 808, 480 Calculator

Given Input numbers are 268, 625, 808, 480

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 268, 625, 808, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 625, 808, 480 is 1.

Therefore, GCD of numbers 268, 625, 808, 480 is 1

Given Input Data is 268, 625, 808, 480

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(268, 625) = 167500

GCD(268, 625) = ( 268 x 625 ) / 167500

GCD(268, 625) = 167500 / 167500

GCD(268, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 268, 625, 808, 480 is 1

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1. What is the GCD of 268, 625, 808, 480?

GCD of 268, 625, 808, 480 is 1

2. Where do I get the detailed procedure to find GCD of 268, 625, 808, 480?

You can find a detailed procedure to find GCD of 268, 625, 808, 480 on our page.

3. How to find GCD of 268, 625, 808, 480 on a calculator?

You can find the GCD of 268, 625, 808, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.