GCD of 600, 971, 984, 282 Calculator

Given Input numbers are 600, 971, 984, 282

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

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 600, 971, 984, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 971, 984, 282 is 1.

Therefore, GCD of numbers 600, 971, 984, 282 is 1

Given Input Data is 600, 971, 984, 282

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

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

Prime Factorization of 971 is 971

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 282 is 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(600, 971) = 582600

GCD(600, 971) = ( 600 x 971 ) / 582600

GCD(600, 971) = 582600 / 582600

GCD(600, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 600, 971, 984, 282 is 1

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1. What is the GCD of 600, 971, 984, 282?

GCD of 600, 971, 984, 282 is 1

2. Where do I get the detailed procedure to find GCD of 600, 971, 984, 282?

You can find a detailed procedure to find GCD of 600, 971, 984, 282 on our page.

3. How to find GCD of 600, 971, 984, 282 on a calculator?

You can find the GCD of 600, 971, 984, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.