GCD of 118, 936, 722, 474 Calculator

Given Input numbers are 118, 936, 722, 474

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 118, 936, 722, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 936, 722, 474 is 2.

Therefore, GCD of numbers 118, 936, 722, 474 is 2

Given Input Data is 118, 936, 722, 474

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 474 is 2 x 3 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 936) = 55224

GCD(118, 936) = ( 118 x 936 ) / 55224

GCD(118, 936) = 110448 / 55224

GCD(118, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 118, 936, 722, 474 is 2

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1. What is the GCD of 118, 936, 722, 474?

GCD of 118, 936, 722, 474 is 2

2. Where do I get the detailed procedure to find GCD of 118, 936, 722, 474?

You can find a detailed procedure to find GCD of 118, 936, 722, 474 on our page.

3. How to find GCD of 118, 936, 722, 474 on a calculator?

You can find the GCD of 118, 936, 722, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.