GCD of 98, 31, 56 Calculator

Given Input numbers are 98, 31, 56

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 31

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

1, 31

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 98, 31, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 31, 56 is 1.

Therefore, GCD of numbers 98, 31, 56 is 1

Given Input Data is 98, 31, 56

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 31 is 31

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(98, 31) = 3038

GCD(98, 31) = ( 98 x 31 ) / 3038

GCD(98, 31) = 3038 / 3038

GCD(98, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 98, 31, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 13, 61
• GCD of 63, 70, 40
• GCD of 29, 90, 94
• GCD of 42, 30, 20
• GCD of 58, 71, 47

1. What is the GCD of 98, 31, 56?

GCD of 98, 31, 56 is 1

2. Where do I get the detailed procedure to find GCD of 98, 31, 56?

You can find a detailed procedure to find GCD of 98, 31, 56 on our page.

3. How to find GCD of 98, 31, 56 on a calculator?

You can find the GCD of 98, 31, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.