GCD of 984, 942, 64, 500 Calculator

Given Input numbers are 984, 942, 64, 500

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 984, 942, 64, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 942, 64, 500 is 2.

Therefore, GCD of numbers 984, 942, 64, 500 is 2

Given Input Data is 984, 942, 64, 500

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 942 is 2 x 3 x 157

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 500 is 2 x 2 x 5 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(984, 942) = 154488

GCD(984, 942) = ( 984 x 942 ) / 154488

GCD(984, 942) = 926928 / 154488

GCD(984, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

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

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 984, 942, 64, 500 is 2

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1. What is the GCD of 984, 942, 64, 500?

GCD of 984, 942, 64, 500 is 2

2. Where do I get the detailed procedure to find GCD of 984, 942, 64, 500?

You can find a detailed procedure to find GCD of 984, 942, 64, 500 on our page.

3. How to find GCD of 984, 942, 64, 500 on a calculator?

You can find the GCD of 984, 942, 64, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.