GCD of 51, 65, 24, 74 Calculator

Given Input numbers are 51, 65, 24, 74

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 51, 65, 24, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 65, 24, 74 is 1.

Therefore, GCD of numbers 51, 65, 24, 74 is 1

Given Input Data is 51, 65, 24, 74

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 65 is 5 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 74 is 2 x 37

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(51, 65) = 3315

GCD(51, 65) = ( 51 x 65 ) / 3315

GCD(51, 65) = 3315 / 3315

GCD(51, 65) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 51, 65, 24, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 14, 82, 97
• GCD of 83, 67, 86, 48
• GCD of 24, 82, 70, 43
• GCD of 28, 61, 31, 37
• GCD of 73, 22, 23, 22

1. What is the GCD of 51, 65, 24, 74?

GCD of 51, 65, 24, 74 is 1

2. Where do I get the detailed procedure to find GCD of 51, 65, 24, 74?

You can find a detailed procedure to find GCD of 51, 65, 24, 74 on our page.

3. How to find GCD of 51, 65, 24, 74 on a calculator?

You can find the GCD of 51, 65, 24, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.