GCD of 630, 150, 540, 664 Calculator

Given Input numbers are 630, 150, 540, 664

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 630, 150, 540, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 150, 540, 664 is 2.

Therefore, GCD of numbers 630, 150, 540, 664 is 2

Given Input Data is 630, 150, 540, 664

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 150 is 2 x 3 x 5 x 5

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 150) = 3150

GCD(630, 150) = ( 630 x 150 ) / 3150

GCD(630, 150) = 94500 / 3150

GCD(630, 150) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 540

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

LCM(30, 540) = 540

GCD(30, 540) = ( 30 x 540 ) / 540

GCD(30, 540) = 16200 / 540

GCD(30, 540) = 30

Step3:

Here we consider the GCD from the above i.e. 30 as first number and the next as 664

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

LCM(30, 664) = 9960

GCD(30, 664) = ( 30 x 664 ) / 9960

GCD(30, 664) = 19920 / 9960

GCD(30, 664) = 2

GCD of 630, 150, 540, 664 is 2

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1. What is the GCD of 630, 150, 540, 664?

GCD of 630, 150, 540, 664 is 2

2. Where do I get the detailed procedure to find GCD of 630, 150, 540, 664?

You can find a detailed procedure to find GCD of 630, 150, 540, 664 on our page.

3. How to find GCD of 630, 150, 540, 664 on a calculator?

You can find the GCD of 630, 150, 540, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.