GCD of 71, 97, 96, 88 Calculator

Given Input numbers are 71, 97, 96, 88

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 88

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

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

Greatest Common Divisior

We found the divisors of 71, 97, 96, 88 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 97, 96, 88 is 1.

Therefore, GCD of numbers 71, 97, 96, 88 is 1

Given Input Data is 71, 97, 96, 88

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

Prime Factorization of 71 is 71

Prime Factorization of 97 is 97

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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(71, 97) = 6887

GCD(71, 97) = ( 71 x 97 ) / 6887

GCD(71, 97) = 6887 / 6887

GCD(71, 97) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

GCD of 71, 97, 96, 88 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 19, 46, 29
• GCD of 50, 59, 53, 69
• GCD of 52, 83, 66, 93
• GCD of 69, 23, 36, 72
• GCD of 26, 10, 44, 57

1. What is the GCD of 71, 97, 96, 88?

GCD of 71, 97, 96, 88 is 1

2. Where do I get the detailed procedure to find GCD of 71, 97, 96, 88?

You can find a detailed procedure to find GCD of 71, 97, 96, 88 on our page.

3. How to find GCD of 71, 97, 96, 88 on a calculator?

You can find the GCD of 71, 97, 96, 88 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.