GCD of 994, 630, 942, 682 Calculator

Given Input numbers are 994, 630, 942, 682

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 994, 630, 942, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 630, 942, 682 is 2.

Therefore, GCD of numbers 994, 630, 942, 682 is 2

Given Input Data is 994, 630, 942, 682

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 682 is 2 x 11 x 31

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(994, 630) = 44730

GCD(994, 630) = ( 994 x 630 ) / 44730

GCD(994, 630) = 626220 / 44730

GCD(994, 630) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 942

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

LCM(14, 942) = 6594

GCD(14, 942) = ( 14 x 942 ) / 6594

GCD(14, 942) = 13188 / 6594

GCD(14, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 994, 630, 942, 682 is 2

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1. What is the GCD of 994, 630, 942, 682?

GCD of 994, 630, 942, 682 is 2

2. Where do I get the detailed procedure to find GCD of 994, 630, 942, 682?

You can find a detailed procedure to find GCD of 994, 630, 942, 682 on our page.

3. How to find GCD of 994, 630, 942, 682 on a calculator?

You can find the GCD of 994, 630, 942, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.