GCD of 684, 616, 126, 988 Calculator

Given Input numbers are 684, 616, 126, 988

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

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 684, 616, 126, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 616, 126, 988 is 2.

Therefore, GCD of numbers 684, 616, 126, 988 is 2

Given Input Data is 684, 616, 126, 988

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

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(684, 616) = 105336

GCD(684, 616) = ( 684 x 616 ) / 105336

GCD(684, 616) = 421344 / 105336

GCD(684, 616) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 126

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

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

GCD(4, 126) = 504 / 252

GCD(4, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 684, 616, 126, 988 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 684, 616, 126, 988?

GCD of 684, 616, 126, 988 is 2

2. Where do I get the detailed procedure to find GCD of 684, 616, 126, 988?

You can find a detailed procedure to find GCD of 684, 616, 126, 988 on our page.

3. How to find GCD of 684, 616, 126, 988 on a calculator?

You can find the GCD of 684, 616, 126, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.