GCD of 630, 135, 50, 565 Calculator

Given Input numbers are 630, 135, 50, 565

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 630, 135, 50, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 135, 50, 565 is 5.

Therefore, GCD of numbers 630, 135, 50, 565 is 5

Given Input Data is 630, 135, 50, 565

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 565 is 5 x 113

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 135) = 1890

GCD(630, 135) = ( 630 x 135 ) / 1890

GCD(630, 135) = 85050 / 1890

GCD(630, 135) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 50

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

LCM(45, 50) = 450

GCD(45, 50) = ( 45 x 50 ) / 450

GCD(45, 50) = 2250 / 450

GCD(45, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 565

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

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

GCD(5, 565) = 2825 / 565

GCD(5, 565) = 5

GCD of 630, 135, 50, 565 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 872, 22, 645
• GCD of 227, 356, 56, 164
• GCD of 764, 404, 50, 424
• GCD of 147, 335, 96, 265
• GCD of 601, 855, 72, 265

1. What is the GCD of 630, 135, 50, 565?

GCD of 630, 135, 50, 565 is 5

2. Where do I get the detailed procedure to find GCD of 630, 135, 50, 565?

You can find a detailed procedure to find GCD of 630, 135, 50, 565 on our page.

3. How to find GCD of 630, 135, 50, 565 on a calculator?

You can find the GCD of 630, 135, 50, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.