GCD of 118, 116, 32, 307 Calculator

Given Input numbers are 118, 116, 32, 307

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 118, 116, 32, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 116, 32, 307 is 1.

Therefore, GCD of numbers 118, 116, 32, 307 is 1

Given Input Data is 118, 116, 32, 307

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 307 is 307

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(118, 116) = 6844

GCD(118, 116) = ( 118 x 116 ) / 6844

GCD(118, 116) = 13688 / 6844

GCD(118, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 118, 116, 32, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 612, 43, 249
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• GCD of 456, 732, 32, 941
• GCD of 109, 701, 93, 570

1. What is the GCD of 118, 116, 32, 307?

GCD of 118, 116, 32, 307 is 1

2. Where do I get the detailed procedure to find GCD of 118, 116, 32, 307?

You can find a detailed procedure to find GCD of 118, 116, 32, 307 on our page.

3. How to find GCD of 118, 116, 32, 307 on a calculator?

You can find the GCD of 118, 116, 32, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.