GCD of 750, 684, 978, 628 Calculator

Given Input numbers are 750, 684, 978, 628

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 750, 684, 978, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 684, 978, 628 is 2.

Therefore, GCD of numbers 750, 684, 978, 628 is 2

Given Input Data is 750, 684, 978, 628

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 628 is 2 x 2 x 157

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(750, 684) = 85500

GCD(750, 684) = ( 750 x 684 ) / 85500

GCD(750, 684) = 513000 / 85500

GCD(750, 684) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 978

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

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

GCD(6, 978) = 5868 / 978

GCD(6, 978) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 628

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

LCM(6, 628) = 1884

GCD(6, 628) = ( 6 x 628 ) / 1884

GCD(6, 628) = 3768 / 1884

GCD(6, 628) = 2

GCD of 750, 684, 978, 628 is 2

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1. What is the GCD of 750, 684, 978, 628?

GCD of 750, 684, 978, 628 is 2

2. Where do I get the detailed procedure to find GCD of 750, 684, 978, 628?

You can find a detailed procedure to find GCD of 750, 684, 978, 628 on our page.

3. How to find GCD of 750, 684, 978, 628 on a calculator?

You can find the GCD of 750, 684, 978, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.