GCD of 630, 106, 36, 546 Calculator

Given Input numbers are 630, 106, 36, 546

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 630, 106, 36, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 106, 36, 546 is 2.

Therefore, GCD of numbers 630, 106, 36, 546 is 2

Given Input Data is 630, 106, 36, 546

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 106 is 2 x 53

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 546 is 2 x 3 x 7 x 13

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, 106) = 33390

GCD(630, 106) = ( 630 x 106 ) / 33390

GCD(630, 106) = 66780 / 33390

GCD(630, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 630, 106, 36, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 194, 31, 440
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• GCD of 736, 725, 41, 528

1. What is the GCD of 630, 106, 36, 546?

GCD of 630, 106, 36, 546 is 2

2. Where do I get the detailed procedure to find GCD of 630, 106, 36, 546?

You can find a detailed procedure to find GCD of 630, 106, 36, 546 on our page.

3. How to find GCD of 630, 106, 36, 546 on a calculator?

You can find the GCD of 630, 106, 36, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.