GCD of 630, 312, 70, 540 Calculator

Given Input numbers are 630, 312, 70, 540

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 630, 312, 70, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 312, 70, 540 is 2.

Therefore, GCD of numbers 630, 312, 70, 540 is 2

Given Input Data is 630, 312, 70, 540

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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, 312) = 32760

GCD(630, 312) = ( 630 x 312 ) / 32760

GCD(630, 312) = 196560 / 32760

GCD(630, 312) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

GCD of 630, 312, 70, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 720, 62, 953
• GCD of 641, 345, 25, 860
• GCD of 318, 945, 11, 257
• GCD of 748, 524, 76, 740
• GCD of 989, 974, 55, 714

1. What is the GCD of 630, 312, 70, 540?

GCD of 630, 312, 70, 540 is 2

2. Where do I get the detailed procedure to find GCD of 630, 312, 70, 540?

You can find a detailed procedure to find GCD of 630, 312, 70, 540 on our page.

3. How to find GCD of 630, 312, 70, 540 on a calculator?

You can find the GCD of 630, 312, 70, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.