GCD of 332, 600, 612, 980 Calculator

Given Input numbers are 332, 600, 612, 980

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

Divisors of 332

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

1, 2, 4, 83, 166, 332

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 332, 600, 612, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 600, 612, 980 is 4.

Therefore, GCD of numbers 332, 600, 612, 980 is 4

Given Input Data is 332, 600, 612, 980

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

Prime Factorization of 332 is 2 x 2 x 83

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(332, 600) = 49800

GCD(332, 600) = ( 332 x 600 ) / 49800

GCD(332, 600) = 199200 / 49800

GCD(332, 600) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 612

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

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

GCD(4, 612) = 2448 / 612

GCD(4, 612) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 980

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

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

GCD(4, 980) = 3920 / 980

GCD(4, 980) = 4

GCD of 332, 600, 612, 980 is 4

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• GCD of 254, 585, 742, 369
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• GCD of 737, 380, 447, 617

1. What is the GCD of 332, 600, 612, 980?

GCD of 332, 600, 612, 980 is 4

2. Where do I get the detailed procedure to find GCD of 332, 600, 612, 980?

You can find a detailed procedure to find GCD of 332, 600, 612, 980 on our page.

3. How to find GCD of 332, 600, 612, 980 on a calculator?

You can find the GCD of 332, 600, 612, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.