GCD of 627, 672, 627, 996 Calculator

Given Input numbers are 627, 672, 627, 996

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 627, 672, 627, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 672, 627, 996 is 3.

Therefore, GCD of numbers 627, 672, 627, 996 is 3

Given Input Data is 627, 672, 627, 996

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(627, 672) = 140448

GCD(627, 672) = ( 627 x 672 ) / 140448

GCD(627, 672) = 421344 / 140448

GCD(627, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 627

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

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

GCD(3, 627) = 1881 / 627

GCD(3, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

GCD of 627, 672, 627, 996 is 3

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1. What is the GCD of 627, 672, 627, 996?

GCD of 627, 672, 627, 996 is 3

2. Where do I get the detailed procedure to find GCD of 627, 672, 627, 996?

You can find a detailed procedure to find GCD of 627, 672, 627, 996 on our page.

3. How to find GCD of 627, 672, 627, 996 on a calculator?

You can find the GCD of 627, 672, 627, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.