GCD of 125, 500, 63, 271 Calculator

Given Input numbers are 125, 500, 63, 271

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 125, 500, 63, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 500, 63, 271 is 1.

Therefore, GCD of numbers 125, 500, 63, 271 is 1

Given Input Data is 125, 500, 63, 271

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 271 is 271

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(125, 500) = 500

GCD(125, 500) = ( 125 x 500 ) / 500

GCD(125, 500) = 62500 / 500

GCD(125, 500) = 125

Step2:

Here we consider the GCD from the above i.e. 125 as first number and the next as 63

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

LCM(125, 63) = 7875

GCD(125, 63) = ( 125 x 63 ) / 7875

GCD(125, 63) = 7875 / 7875

GCD(125, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 125, 500, 63, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 945, 69, 638
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• GCD of 989, 912, 99, 242

1. What is the GCD of 125, 500, 63, 271?

GCD of 125, 500, 63, 271 is 1

2. Where do I get the detailed procedure to find GCD of 125, 500, 63, 271?

You can find a detailed procedure to find GCD of 125, 500, 63, 271 on our page.

3. How to find GCD of 125, 500, 63, 271 on a calculator?

You can find the GCD of 125, 500, 63, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.