GCD of 452, 362, 362, 112 Calculator

Given Input numbers are 452, 362, 362, 112

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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

Greatest Common Divisior

We found the divisors of 452, 362, 362, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 362, 362, 112 is 2.

Therefore, GCD of numbers 452, 362, 362, 112 is 2

Given Input Data is 452, 362, 362, 112

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 362 is 2 x 181

Prime Factorization of 362 is 2 x 181

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

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(452, 362) = 81812

GCD(452, 362) = ( 452 x 362 ) / 81812

GCD(452, 362) = 163624 / 81812

GCD(452, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 452, 362, 362, 112 is 2

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1. What is the GCD of 452, 362, 362, 112?

GCD of 452, 362, 362, 112 is 2

2. Where do I get the detailed procedure to find GCD of 452, 362, 362, 112?

You can find a detailed procedure to find GCD of 452, 362, 362, 112 on our page.

3. How to find GCD of 452, 362, 362, 112 on a calculator?

You can find the GCD of 452, 362, 362, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.