GCD of 552, 374, 600 Calculator

Given Input numbers are 552, 374, 600

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 552, 374, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 374, 600 is 2.

Therefore, GCD of numbers 552, 374, 600 is 2

Given Input Data is 552, 374, 600

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 374 is 2 x 11 x 17

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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, 374) = 103224

GCD(552, 374) = ( 552 x 374 ) / 103224

GCD(552, 374) = 206448 / 103224

GCD(552, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 552, 374, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 946, 809
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1. What is the GCD of 552, 374, 600?

GCD of 552, 374, 600 is 2

2. Where do I get the detailed procedure to find GCD of 552, 374, 600?

You can find a detailed procedure to find GCD of 552, 374, 600 on our page.

3. How to find GCD of 552, 374, 600 on a calculator?

You can find the GCD of 552, 374, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.