GCD of 118, 748, 39, 891 Calculator

Given Input numbers are 118, 748, 39, 891

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 118, 748, 39, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 748, 39, 891 is 1.

Therefore, GCD of numbers 118, 748, 39, 891 is 1

Given Input Data is 118, 748, 39, 891

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 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(118, 748) = 44132

GCD(118, 748) = ( 118 x 748 ) / 44132

GCD(118, 748) = 88264 / 44132

GCD(118, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 118, 748, 39, 891 is 1

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1. What is the GCD of 118, 748, 39, 891?

GCD of 118, 748, 39, 891 is 1

2. Where do I get the detailed procedure to find GCD of 118, 748, 39, 891?

You can find a detailed procedure to find GCD of 118, 748, 39, 891 on our page.

3. How to find GCD of 118, 748, 39, 891 on a calculator?

You can find the GCD of 118, 748, 39, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.