GCD of 984, 130, 684, 754 Calculator

Given Input numbers are 984, 130, 684, 754

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 984, 130, 684, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 130, 684, 754 is 2.

Therefore, GCD of numbers 984, 130, 684, 754 is 2

Given Input Data is 984, 130, 684, 754

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 130 is 2 x 5 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 754 is 2 x 13 x 29

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, 130) = 63960

GCD(984, 130) = ( 984 x 130 ) / 63960

GCD(984, 130) = 127920 / 63960

GCD(984, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 984, 130, 684, 754 is 2

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1. What is the GCD of 984, 130, 684, 754?

GCD of 984, 130, 684, 754 is 2

2. Where do I get the detailed procedure to find GCD of 984, 130, 684, 754?

You can find a detailed procedure to find GCD of 984, 130, 684, 754 on our page.

3. How to find GCD of 984, 130, 684, 754 on a calculator?

You can find the GCD of 984, 130, 684, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.