GCD of 74, 59, 40, 51 Calculator

Given Input numbers are 74, 59, 40, 51

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 51

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

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 74, 59, 40, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 59, 40, 51 is 1.

Therefore, GCD of numbers 74, 59, 40, 51 is 1

Given Input Data is 74, 59, 40, 51

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 59 is 59

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 51 is 3 x 17

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, 59) = 4366

GCD(74, 59) = ( 74 x 59 ) / 4366

GCD(74, 59) = 4366 / 4366

GCD(74, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

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

GCD of 74, 59, 40, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 75, 56, 56
• GCD of 90, 35, 17, 38
• GCD of 70, 36, 25, 91
• GCD of 58, 60, 88, 69
• GCD of 85, 96, 35, 18

1. What is the GCD of 74, 59, 40, 51?

GCD of 74, 59, 40, 51 is 1

2. Where do I get the detailed procedure to find GCD of 74, 59, 40, 51?

You can find a detailed procedure to find GCD of 74, 59, 40, 51 on our page.

3. How to find GCD of 74, 59, 40, 51 on a calculator?

You can find the GCD of 74, 59, 40, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.