GCD of 873, 714, 75, 118 Calculator

Given Input numbers are 873, 714, 75, 118

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

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 75

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

1, 3, 5, 15, 25, 75

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 873, 714, 75, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 714, 75, 118 is 1.

Therefore, GCD of numbers 873, 714, 75, 118 is 1

Given Input Data is 873, 714, 75, 118

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

Prime Factorization of 873 is 3 x 3 x 97

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

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(873, 714) = 207774

GCD(873, 714) = ( 873 x 714 ) / 207774

GCD(873, 714) = 623322 / 207774

GCD(873, 714) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 118

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

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

GCD(3, 118) = 354 / 354

GCD(3, 118) = 1

GCD of 873, 714, 75, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 815, 68, 131
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• GCD of 949, 811, 26, 854

1. What is the GCD of 873, 714, 75, 118?

GCD of 873, 714, 75, 118 is 1

2. Where do I get the detailed procedure to find GCD of 873, 714, 75, 118?

You can find a detailed procedure to find GCD of 873, 714, 75, 118 on our page.

3. How to find GCD of 873, 714, 75, 118 on a calculator?

You can find the GCD of 873, 714, 75, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.