GCD of 25, 264, 271, 142 Calculator

Given Input numbers are 25, 264, 271, 142

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 271

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

1, 271

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 25, 264, 271, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 264, 271, 142 is 1.

Therefore, GCD of numbers 25, 264, 271, 142 is 1

Given Input Data is 25, 264, 271, 142

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 271 is 271

Prime Factorization of 142 is 2 x 71

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(25, 264) = 6600

GCD(25, 264) = ( 25 x 264 ) / 6600

GCD(25, 264) = 6600 / 6600

GCD(25, 264) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 25, 264, 271, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 580, 777, 800
• GCD of 48, 152, 696, 336
• GCD of 30, 209, 554, 564
• GCD of 30, 119, 999, 755
• GCD of 93, 297, 246, 234

1. What is the GCD of 25, 264, 271, 142?

GCD of 25, 264, 271, 142 is 1

2. Where do I get the detailed procedure to find GCD of 25, 264, 271, 142?

You can find a detailed procedure to find GCD of 25, 264, 271, 142 on our page.

3. How to find GCD of 25, 264, 271, 142 on a calculator?

You can find the GCD of 25, 264, 271, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.