GCD of 75, 6, 67, 87 Calculator

Given Input numbers are 75, 6, 67, 87

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 75, 6, 67, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 6, 67, 87 is 1.

Therefore, GCD of numbers 75, 6, 67, 87 is 1

Given Input Data is 75, 6, 67, 87

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 6 is 2 x 3

Prime Factorization of 67 is 67

Prime Factorization of 87 is 3 x 29

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(75, 6) = 150

GCD(75, 6) = ( 75 x 6 ) / 150

GCD(75, 6) = 450 / 150

GCD(75, 6) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

GCD of 75, 6, 67, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 9, 53, 48
• GCD of 51, 4, 36, 67
• GCD of 36, 1, 97, 86
• GCD of 59, 8, 42, 68
• GCD of 66, 9, 97, 53

1. What is the GCD of 75, 6, 67, 87?

GCD of 75, 6, 67, 87 is 1

2. Where do I get the detailed procedure to find GCD of 75, 6, 67, 87?

You can find a detailed procedure to find GCD of 75, 6, 67, 87 on our page.

3. How to find GCD of 75, 6, 67, 87 on a calculator?

You can find the GCD of 75, 6, 67, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.