GCD of 362, 948, 90, 224 Calculator

Given Input numbers are 362, 948, 90, 224

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

Divisors of 362

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

1, 2, 181, 362

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 362, 948, 90, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 948, 90, 224 is 2.

Therefore, GCD of numbers 362, 948, 90, 224 is 2

Given Input Data is 362, 948, 90, 224

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 224 is 2 x 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(362, 948) = 171588

GCD(362, 948) = ( 362 x 948 ) / 171588

GCD(362, 948) = 343176 / 171588

GCD(362, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 362, 948, 90, 224 is 2

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• GCD of 317, 465, 25, 362
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• GCD of 307, 526, 11, 288

1. What is the GCD of 362, 948, 90, 224?

GCD of 362, 948, 90, 224 is 2

2. Where do I get the detailed procedure to find GCD of 362, 948, 90, 224?

You can find a detailed procedure to find GCD of 362, 948, 90, 224 on our page.

3. How to find GCD of 362, 948, 90, 224 on a calculator?

You can find the GCD of 362, 948, 90, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.