GCD of 31, 98, 40, 14 Calculator

Given Input numbers are 31, 98, 40, 14

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

Divisors of 31

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

1, 31

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 31, 98, 40, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 98, 40, 14 is 1.

Therefore, GCD of numbers 31, 98, 40, 14 is 1

Given Input Data is 31, 98, 40, 14

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

Prime Factorization of 31 is 31

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 14 is 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(31, 98) = 3038

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

GCD(31, 98) = 3038 / 3038

GCD(31, 98) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 31, 98, 40, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 69, 94, 21
• GCD of 19, 21, 75, 20
• GCD of 68, 66, 67, 65
• GCD of 56, 28, 28, 84
• GCD of 77, 76, 51, 43

1. What is the GCD of 31, 98, 40, 14?

GCD of 31, 98, 40, 14 is 1

2. Where do I get the detailed procedure to find GCD of 31, 98, 40, 14?

You can find a detailed procedure to find GCD of 31, 98, 40, 14 on our page.

3. How to find GCD of 31, 98, 40, 14 on a calculator?

You can find the GCD of 31, 98, 40, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.