GCD of 630, 868, 378, 672 Calculator

Given Input numbers are 630, 868, 378, 672

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

Greatest Common Divisior

We found the divisors of 630, 868, 378, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 868, 378, 672 is 14.

Therefore, GCD of numbers 630, 868, 378, 672 is 14

Given Input Data is 630, 868, 378, 672

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 2¹ x 7¹

Multiplying them we get the GCD as 14

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, 868) = 39060

GCD(630, 868) = ( 630 x 868 ) / 39060

GCD(630, 868) = 546840 / 39060

GCD(630, 868) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 378

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

LCM(14, 378) = 378

GCD(14, 378) = ( 14 x 378 ) / 378

GCD(14, 378) = 5292 / 378

GCD(14, 378) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 672

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

LCM(14, 672) = 672

GCD(14, 672) = ( 14 x 672 ) / 672

GCD(14, 672) = 9408 / 672

GCD(14, 672) = 14

GCD of 630, 868, 378, 672 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 695, 569, 637
• GCD of 820, 593, 731, 180
• GCD of 378, 755, 513, 795
• GCD of 153, 139, 251, 468
• GCD of 873, 288, 513, 555

1. What is the GCD of 630, 868, 378, 672?

GCD of 630, 868, 378, 672 is 14

2. Where do I get the detailed procedure to find GCD of 630, 868, 378, 672?

You can find a detailed procedure to find GCD of 630, 868, 378, 672 on our page.

3. How to find GCD of 630, 868, 378, 672 on a calculator?

You can find the GCD of 630, 868, 378, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.