GCD of 630, 116, 400, 294 Calculator

Given Input numbers are 630, 116, 400, 294

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

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 630, 116, 400, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 116, 400, 294 is 2.

Therefore, GCD of numbers 630, 116, 400, 294 is 2

Given Input Data is 630, 116, 400, 294

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

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(630, 116) = 36540

GCD(630, 116) = ( 630 x 116 ) / 36540

GCD(630, 116) = 73080 / 36540

GCD(630, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 630, 116, 400, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 584, 865, 875
• GCD of 564, 634, 928, 995
• GCD of 400, 711, 211, 761
• GCD of 658, 418, 933, 667
• GCD of 274, 387, 940, 240

1. What is the GCD of 630, 116, 400, 294?

GCD of 630, 116, 400, 294 is 2

2. Where do I get the detailed procedure to find GCD of 630, 116, 400, 294?

You can find a detailed procedure to find GCD of 630, 116, 400, 294 on our page.

3. How to find GCD of 630, 116, 400, 294 on a calculator?

You can find the GCD of 630, 116, 400, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.