GCD of 718, 118, 68, 966 Calculator

Given Input numbers are 718, 118, 68, 966

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 118

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

1, 2, 59, 118

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 718, 118, 68, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 118, 68, 966 is 2.

Therefore, GCD of numbers 718, 118, 68, 966 is 2

Given Input Data is 718, 118, 68, 966

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 118 is 2 x 59

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 118) = 42362

GCD(718, 118) = ( 718 x 118 ) / 42362

GCD(718, 118) = 84724 / 42362

GCD(718, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 718, 118, 68, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 964, 52, 142
• GCD of 143, 129, 48, 586
• GCD of 911, 766, 38, 947
• GCD of 161, 166, 51, 783
• GCD of 121, 124, 60, 609

1. What is the GCD of 718, 118, 68, 966?

GCD of 718, 118, 68, 966 is 2

2. Where do I get the detailed procedure to find GCD of 718, 118, 68, 966?

You can find a detailed procedure to find GCD of 718, 118, 68, 966 on our page.

3. How to find GCD of 718, 118, 68, 966 on a calculator?

You can find the GCD of 718, 118, 68, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.