GCD of 76, 88, 61, 31 Calculator

Given Input numbers are 76, 88, 61, 31

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 76, 88, 61, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 88, 61, 31 is 1.

Therefore, GCD of numbers 76, 88, 61, 31 is 1

Given Input Data is 76, 88, 61, 31

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 61 is 61

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(76, 88) = 1672

GCD(76, 88) = ( 76 x 88 ) / 1672

GCD(76, 88) = 6688 / 1672

GCD(76, 88) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 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 76, 88, 61, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 52, 96, 15
• GCD of 39, 55, 85, 42
• GCD of 92, 46, 83, 85
• GCD of 70, 27, 90, 49
• GCD of 45, 36, 99, 21

1. What is the GCD of 76, 88, 61, 31?

GCD of 76, 88, 61, 31 is 1

2. Where do I get the detailed procedure to find GCD of 76, 88, 61, 31?

You can find a detailed procedure to find GCD of 76, 88, 61, 31 on our page.

3. How to find GCD of 76, 88, 61, 31 on a calculator?

You can find the GCD of 76, 88, 61, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.