GCD of 75, 68, 70, 31 Calculator

Given Input numbers are 75, 68, 70, 31

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 75, 68, 70, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 68, 70, 31 is 1.

Therefore, GCD of numbers 75, 68, 70, 31 is 1

Given Input Data is 75, 68, 70, 31

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 68 is 2 x 2 x 17

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 31 is 31

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, 68) = 5100

GCD(75, 68) = ( 75 x 68 ) / 5100

GCD(75, 68) = 5100 / 5100

GCD(75, 68) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 75, 68, 70, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 64, 69, 20
• GCD of 64, 21, 82, 16
• GCD of 65, 47, 23, 77
• GCD of 85, 28, 10, 61
• GCD of 43, 68, 74, 85

1. What is the GCD of 75, 68, 70, 31?

GCD of 75, 68, 70, 31 is 1

2. Where do I get the detailed procedure to find GCD of 75, 68, 70, 31?

You can find a detailed procedure to find GCD of 75, 68, 70, 31 on our page.

3. How to find GCD of 75, 68, 70, 31 on a calculator?

You can find the GCD of 75, 68, 70, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.