GCD of 372, 352, 348, 360 Calculator

Given Input numbers are 372, 352, 348, 360

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

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 372, 352, 348, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 352, 348, 360 is 4.

Therefore, GCD of numbers 372, 352, 348, 360 is 4

Given Input Data is 372, 352, 348, 360

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

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(372, 352) = 32736

GCD(372, 352) = ( 372 x 352 ) / 32736

GCD(372, 352) = 130944 / 32736

GCD(372, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 348

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

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

GCD(4, 348) = 1392 / 348

GCD(4, 348) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 360

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

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

GCD(4, 360) = 1440 / 360

GCD(4, 360) = 4

GCD of 372, 352, 348, 360 is 4

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1. What is the GCD of 372, 352, 348, 360?

GCD of 372, 352, 348, 360 is 4

2. Where do I get the detailed procedure to find GCD of 372, 352, 348, 360?

You can find a detailed procedure to find GCD of 372, 352, 348, 360 on our page.

3. How to find GCD of 372, 352, 348, 360 on a calculator?

You can find the GCD of 372, 352, 348, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.