GCD of 630, 920, 842, 892 Calculator

Given Input numbers are 630, 920, 842, 892

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 630, 920, 842, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 920, 842, 892 is 2.

Therefore, GCD of numbers 630, 920, 842, 892 is 2

Given Input Data is 630, 920, 842, 892

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 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 842 is 2 x 421

Prime Factorization of 892 is 2 x 2 x 223

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, 920) = 57960

GCD(630, 920) = ( 630 x 920 ) / 57960

GCD(630, 920) = 579600 / 57960

GCD(630, 920) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 842

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

LCM(10, 842) = 4210

GCD(10, 842) = ( 10 x 842 ) / 4210

GCD(10, 842) = 8420 / 4210

GCD(10, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

GCD of 630, 920, 842, 892 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 393, 707, 208, 960

1. What is the GCD of 630, 920, 842, 892?

GCD of 630, 920, 842, 892 is 2

2. Where do I get the detailed procedure to find GCD of 630, 920, 842, 892?

You can find a detailed procedure to find GCD of 630, 920, 842, 892 on our page.

3. How to find GCD of 630, 920, 842, 892 on a calculator?

You can find the GCD of 630, 920, 842, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.