GCD of 984, 219, 550, 680 Calculator

Given Input numbers are 984, 219, 550, 680

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

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 984, 219, 550, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 219, 550, 680 is 1.

Therefore, GCD of numbers 984, 219, 550, 680 is 1

Given Input Data is 984, 219, 550, 680

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

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(984, 219) = 71832

GCD(984, 219) = ( 984 x 219 ) / 71832

GCD(984, 219) = 215496 / 71832

GCD(984, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 550

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

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

GCD(3, 550) = 1650 / 1650

GCD(3, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 984, 219, 550, 680 is 1

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• GCD of 373, 264, 368, 576
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• GCD of 790, 254, 422, 123

1. What is the GCD of 984, 219, 550, 680?

GCD of 984, 219, 550, 680 is 1

2. Where do I get the detailed procedure to find GCD of 984, 219, 550, 680?

You can find a detailed procedure to find GCD of 984, 219, 550, 680 on our page.

3. How to find GCD of 984, 219, 550, 680 on a calculator?

You can find the GCD of 984, 219, 550, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.