GCD of 270, 690, 50, 650 Calculator

Given Input numbers are 270, 690, 50, 650

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 270, 690, 50, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 690, 50, 650 is 10.

Therefore, GCD of numbers 270, 690, 50, 650 is 10

Given Input Data is 270, 690, 50, 650

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(270, 690) = 6210

GCD(270, 690) = ( 270 x 690 ) / 6210

GCD(270, 690) = 186300 / 6210

GCD(270, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 50

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

LCM(30, 50) = 150

GCD(30, 50) = ( 30 x 50 ) / 150

GCD(30, 50) = 1500 / 150

GCD(30, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 650

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

LCM(10, 650) = 650

GCD(10, 650) = ( 10 x 650 ) / 650

GCD(10, 650) = 6500 / 650

GCD(10, 650) = 10

GCD of 270, 690, 50, 650 is 10

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• GCD of 953, 143, 48, 914

1. What is the GCD of 270, 690, 50, 650?

GCD of 270, 690, 50, 650 is 10

2. Where do I get the detailed procedure to find GCD of 270, 690, 50, 650?

You can find a detailed procedure to find GCD of 270, 690, 50, 650 on our page.

3. How to find GCD of 270, 690, 50, 650 on a calculator?

You can find the GCD of 270, 690, 50, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.