GCD of 118, 802, 31, 296 Calculator

Given Input numbers are 118, 802, 31, 296

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 31

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

1, 31

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 118, 802, 31, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 802, 31, 296 is 1.

Therefore, GCD of numbers 118, 802, 31, 296 is 1

Given Input Data is 118, 802, 31, 296

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 802 is 2 x 401

Prime Factorization of 31 is 31

Prime Factorization of 296 is 2 x 2 x 2 x 37

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, 802) = 47318

GCD(118, 802) = ( 118 x 802 ) / 47318

GCD(118, 802) = 94636 / 47318

GCD(118, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 118, 802, 31, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 335, 44, 262
• GCD of 855, 591, 41, 608
• GCD of 143, 926, 64, 401
• GCD of 850, 772, 83, 573
• GCD of 285, 959, 36, 154

1. What is the GCD of 118, 802, 31, 296?

GCD of 118, 802, 31, 296 is 1

2. Where do I get the detailed procedure to find GCD of 118, 802, 31, 296?

You can find a detailed procedure to find GCD of 118, 802, 31, 296 on our page.

3. How to find GCD of 118, 802, 31, 296 on a calculator?

You can find the GCD of 118, 802, 31, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.