GCD of 71, 98, 42, 88 Calculator

Given Input numbers are 71, 98, 42, 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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 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, 98, 42, 88 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 98, 42, 88 is 1.

Therefore, GCD of numbers 71, 98, 42, 88 is 1

Given Input Data is 71, 98, 42, 88

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

Prime Factorization of 71 is 71

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 42 is 2 x 3 x 7

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, 98) = 6958

GCD(71, 98) = ( 71 x 98 ) / 6958

GCD(71, 98) = 6958 / 6958

GCD(71, 98) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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, 98, 42, 88 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 26, 31, 17
• GCD of 49, 39, 51, 80
• GCD of 21, 17, 93, 44
• GCD of 63, 12, 45, 60
• GCD of 74, 90, 59, 56

1. What is the GCD of 71, 98, 42, 88?

GCD of 71, 98, 42, 88 is 1

2. Where do I get the detailed procedure to find GCD of 71, 98, 42, 88?

You can find a detailed procedure to find GCD of 71, 98, 42, 88 on our page.

3. How to find GCD of 71, 98, 42, 88 on a calculator?

You can find the GCD of 71, 98, 42, 88 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.