GCD of 74, 71, 25, 14 Calculator

Given Input numbers are 74, 71, 25, 14

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 25

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

1, 5, 25

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 74, 71, 25, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 71, 25, 14 is 1.

Therefore, GCD of numbers 74, 71, 25, 14 is 1

Given Input Data is 74, 71, 25, 14

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 71 is 71

Prime Factorization of 25 is 5 x 5

Prime Factorization of 14 is 2 x 7

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(74, 71) = 5254

GCD(74, 71) = ( 74 x 71 ) / 5254

GCD(74, 71) = 5254 / 5254

GCD(74, 71) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 74, 71, 25, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 49, 25, 28
• GCD of 96, 64, 31, 70
• GCD of 41, 18, 47, 97
• GCD of 38, 90, 31, 15
• GCD of 53, 70, 51, 22

1. What is the GCD of 74, 71, 25, 14?

GCD of 74, 71, 25, 14 is 1

2. Where do I get the detailed procedure to find GCD of 74, 71, 25, 14?

You can find a detailed procedure to find GCD of 74, 71, 25, 14 on our page.

3. How to find GCD of 74, 71, 25, 14 on a calculator?

You can find the GCD of 74, 71, 25, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.