GCD of 68, 42, 77, 31 Calculator

Given Input numbers are 68, 42, 77, 31

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

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 68, 42, 77, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 42, 77, 31 is 1.

Therefore, GCD of numbers 68, 42, 77, 31 is 1

Given Input Data is 68, 42, 77, 31

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 31 is 31

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(68, 42) = 1428

GCD(68, 42) = ( 68 x 42 ) / 1428

GCD(68, 42) = 2856 / 1428

GCD(68, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 68, 42, 77, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 72, 70, 82
• GCD of 39, 99, 73, 91
• GCD of 93, 49, 32, 49
• GCD of 73, 36, 92, 14
• GCD of 43, 47, 57, 22

1. What is the GCD of 68, 42, 77, 31?

GCD of 68, 42, 77, 31 is 1

2. Where do I get the detailed procedure to find GCD of 68, 42, 77, 31?

You can find a detailed procedure to find GCD of 68, 42, 77, 31 on our page.

3. How to find GCD of 68, 42, 77, 31 on a calculator?

You can find the GCD of 68, 42, 77, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.