GCD of 87, 714, 102, 873 Calculator

Given Input numbers are 87, 714, 102, 873

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

Divisors of 87

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

1, 3, 29, 87

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 873

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

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 87, 714, 102, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 714, 102, 873 is 3.

Therefore, GCD of numbers 87, 714, 102, 873 is 3

Given Input Data is 87, 714, 102, 873

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

Prime Factorization of 87 is 3 x 29

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 873 is 3 x 3 x 97

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(87, 714) = 20706

GCD(87, 714) = ( 87 x 714 ) / 20706

GCD(87, 714) = 62118 / 20706

GCD(87, 714) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 102

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

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

GCD(3, 102) = 306 / 102

GCD(3, 102) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 873

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

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

GCD(3, 873) = 2619 / 873

GCD(3, 873) = 3

GCD of 87, 714, 102, 873 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 173, 479, 201
• GCD of 54, 132, 306, 423
• GCD of 88, 505, 568, 983
• GCD of 45, 927, 159, 890
• GCD of 21, 335, 483, 400

1. What is the GCD of 87, 714, 102, 873?

GCD of 87, 714, 102, 873 is 3

2. Where do I get the detailed procedure to find GCD of 87, 714, 102, 873?

You can find a detailed procedure to find GCD of 87, 714, 102, 873 on our page.

3. How to find GCD of 87, 714, 102, 873 on a calculator?

You can find the GCD of 87, 714, 102, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.