GCD of 25, 38, 51, 10 Calculator

Given Input numbers are 25, 38, 51, 10

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 25, 38, 51, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 38, 51, 10 is 1.

Therefore, GCD of numbers 25, 38, 51, 10 is 1

Given Input Data is 25, 38, 51, 10

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 10 is 2 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(25, 38) = 950

GCD(25, 38) = ( 25 x 38 ) / 950

GCD(25, 38) = 950 / 950

GCD(25, 38) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 25, 38, 51, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 10, 70, 25
• GCD of 61, 11, 74, 22
• GCD of 56, 85, 89, 17
• GCD of 42, 33, 17, 42
• GCD of 73, 63, 15, 90

1. What is the GCD of 25, 38, 51, 10?

GCD of 25, 38, 51, 10 is 1

2. Where do I get the detailed procedure to find GCD of 25, 38, 51, 10?

You can find a detailed procedure to find GCD of 25, 38, 51, 10 on our page.

3. How to find GCD of 25, 38, 51, 10 on a calculator?

You can find the GCD of 25, 38, 51, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.