GCD of 54, 372, 112, 962 Calculator

Given Input numbers are 54, 372, 112, 962

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 54, 372, 112, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 372, 112, 962 is 2.

Therefore, GCD of numbers 54, 372, 112, 962 is 2

Given Input Data is 54, 372, 112, 962

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 962 is 2 x 13 x 37

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(54, 372) = 3348

GCD(54, 372) = ( 54 x 372 ) / 3348

GCD(54, 372) = 20088 / 3348

GCD(54, 372) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 112

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

LCM(6, 112) = 336

GCD(6, 112) = ( 6 x 112 ) / 336

GCD(6, 112) = 672 / 336

GCD(6, 112) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 54, 372, 112, 962 is 2

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1. What is the GCD of 54, 372, 112, 962?

GCD of 54, 372, 112, 962 is 2

2. Where do I get the detailed procedure to find GCD of 54, 372, 112, 962?

You can find a detailed procedure to find GCD of 54, 372, 112, 962 on our page.

3. How to find GCD of 54, 372, 112, 962 on a calculator?

You can find the GCD of 54, 372, 112, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.