GCD of 74, 4, 99, 75 Calculator

Given Input numbers are 74, 4, 99, 75

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 4

List of positive integer divisors of 4 that divides 4 without a remainder.

1, 2, 4

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 74, 4, 99, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 4, 99, 75 is 1.

Therefore, GCD of numbers 74, 4, 99, 75 is 1

Given Input Data is 74, 4, 99, 75

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 4 is 2 x 2

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 75 is 3 x 5 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(74, 4) = 148

GCD(74, 4) = ( 74 x 4 ) / 148

GCD(74, 4) = 296 / 148

GCD(74, 4) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 74, 4, 99, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 7, 94, 36
• GCD of 55, 1, 17, 94
• GCD of 73, 4, 82, 23
• GCD of 89, 8, 55, 18
• GCD of 52, 3, 38, 34

1. What is the GCD of 74, 4, 99, 75?

GCD of 74, 4, 99, 75 is 1

2. Where do I get the detailed procedure to find GCD of 74, 4, 99, 75?

You can find a detailed procedure to find GCD of 74, 4, 99, 75 on our page.

3. How to find GCD of 74, 4, 99, 75 on a calculator?

You can find the GCD of 74, 4, 99, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.