GCD of 25, 280, 125, 125 Calculator

Given Input numbers are 25, 280, 125, 125

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 125

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

1, 5, 25, 125

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 25, 280, 125, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 280, 125, 125 is 5.

Therefore, GCD of numbers 25, 280, 125, 125 is 5

Given Input Data is 25, 280, 125, 125

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 125 is 5 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 280) = 1400

GCD(25, 280) = ( 25 x 280 ) / 1400

GCD(25, 280) = 7000 / 1400

GCD(25, 280) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 125

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

LCM(5, 125) = 125

GCD(5, 125) = ( 5 x 125 ) / 125

GCD(5, 125) = 625 / 125

GCD(5, 125) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 125

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

LCM(5, 125) = 125

GCD(5, 125) = ( 5 x 125 ) / 125

GCD(5, 125) = 625 / 125

GCD(5, 125) = 5

GCD of 25, 280, 125, 125 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 625, 370, 937
• GCD of 65, 537, 316, 134
• GCD of 92, 832, 820, 905
• GCD of 33, 101, 662, 405
• GCD of 25, 407, 364, 863

1. What is the GCD of 25, 280, 125, 125?

GCD of 25, 280, 125, 125 is 5

2. Where do I get the detailed procedure to find GCD of 25, 280, 125, 125?

You can find a detailed procedure to find GCD of 25, 280, 125, 125 on our page.

3. How to find GCD of 25, 280, 125, 125 on a calculator?

You can find the GCD of 25, 280, 125, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.