GCD of 714, 888, 108, 151 Calculator

Given Input numbers are 714, 888, 108, 151

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 714, 888, 108, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 888, 108, 151 is 1.

Therefore, GCD of numbers 714, 888, 108, 151 is 1

Given Input Data is 714, 888, 108, 151

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 151 is 151

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(714, 888) = 105672

GCD(714, 888) = ( 714 x 888 ) / 105672

GCD(714, 888) = 634032 / 105672

GCD(714, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 108

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

LCM(6, 108) = 108

GCD(6, 108) = ( 6 x 108 ) / 108

GCD(6, 108) = 648 / 108

GCD(6, 108) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 151

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

LCM(6, 151) = 906

GCD(6, 151) = ( 6 x 151 ) / 906

GCD(6, 151) = 906 / 906

GCD(6, 151) = 1

GCD of 714, 888, 108, 151 is 1

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1. What is the GCD of 714, 888, 108, 151?

GCD of 714, 888, 108, 151 is 1

2. Where do I get the detailed procedure to find GCD of 714, 888, 108, 151?

You can find a detailed procedure to find GCD of 714, 888, 108, 151 on our page.

3. How to find GCD of 714, 888, 108, 151 on a calculator?

You can find the GCD of 714, 888, 108, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.