GCD of 718, 987, 68, 123 Calculator

Given Input numbers are 718, 987, 68, 123

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 718, 987, 68, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 987, 68, 123 is 1.

Therefore, GCD of numbers 718, 987, 68, 123 is 1

Given Input Data is 718, 987, 68, 123

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 123 is 3 x 41

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(718, 987) = 708666

GCD(718, 987) = ( 718 x 987 ) / 708666

GCD(718, 987) = 708666 / 708666

GCD(718, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 718, 987, 68, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 692, 20, 467
• GCD of 187, 246, 93, 418
• GCD of 903, 857, 50, 588
• GCD of 999, 320, 92, 236
• GCD of 120, 396, 39, 816

1. What is the GCD of 718, 987, 68, 123?

GCD of 718, 987, 68, 123 is 1

2. Where do I get the detailed procedure to find GCD of 718, 987, 68, 123?

You can find a detailed procedure to find GCD of 718, 987, 68, 123 on our page.

3. How to find GCD of 718, 987, 68, 123 on a calculator?

You can find the GCD of 718, 987, 68, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.