GCD of 552, 996, 734, 362 Calculator

Given Input numbers are 552, 996, 734, 362

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 362

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

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 552, 996, 734, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 996, 734, 362 is 2.

Therefore, GCD of numbers 552, 996, 734, 362 is 2

Given Input Data is 552, 996, 734, 362

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 734 is 2 x 367

Prime Factorization of 362 is 2 x 181

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(552, 996) = 45816

GCD(552, 996) = ( 552 x 996 ) / 45816

GCD(552, 996) = 549792 / 45816

GCD(552, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 734

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

LCM(12, 734) = 4404

GCD(12, 734) = ( 12 x 734 ) / 4404

GCD(12, 734) = 8808 / 4404

GCD(12, 734) = 2

Step3:

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

GCD of 552, 996, 734, 362 is 2

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1. What is the GCD of 552, 996, 734, 362?

GCD of 552, 996, 734, 362 is 2

2. Where do I get the detailed procedure to find GCD of 552, 996, 734, 362?

You can find a detailed procedure to find GCD of 552, 996, 734, 362 on our page.

3. How to find GCD of 552, 996, 734, 362 on a calculator?

You can find the GCD of 552, 996, 734, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.