GCD of 324, 976, 332, 562 Calculator

Given Input numbers are 324, 976, 332, 562

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 324, 976, 332, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 976, 332, 562 is 2.

Therefore, GCD of numbers 324, 976, 332, 562 is 2

Given Input Data is 324, 976, 332, 562

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 562 is 2 x 281

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(324, 976) = 79056

GCD(324, 976) = ( 324 x 976 ) / 79056

GCD(324, 976) = 316224 / 79056

GCD(324, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 332

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

LCM(4, 332) = 332

GCD(4, 332) = ( 4 x 332 ) / 332

GCD(4, 332) = 1328 / 332

GCD(4, 332) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 562

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

LCM(4, 562) = 1124

GCD(4, 562) = ( 4 x 562 ) / 1124

GCD(4, 562) = 2248 / 1124

GCD(4, 562) = 2

GCD of 324, 976, 332, 562 is 2

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1. What is the GCD of 324, 976, 332, 562?

GCD of 324, 976, 332, 562 is 2

2. Where do I get the detailed procedure to find GCD of 324, 976, 332, 562?

You can find a detailed procedure to find GCD of 324, 976, 332, 562 on our page.

3. How to find GCD of 324, 976, 332, 562 on a calculator?

You can find the GCD of 324, 976, 332, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.