GCD of 116, 600, 690, 150 Calculator

Given Input numbers are 116, 600, 690, 150

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 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

Greatest Common Divisior

We found the divisors of 116, 600, 690, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 600, 690, 150 is 2.

Therefore, GCD of numbers 116, 600, 690, 150 is 2

Given Input Data is 116, 600, 690, 150

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 150 is 2 x 3 x 5 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(116, 600) = 17400

GCD(116, 600) = ( 116 x 600 ) / 17400

GCD(116, 600) = 69600 / 17400

GCD(116, 600) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 690

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

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

GCD(4, 690) = 2760 / 1380

GCD(4, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 116, 600, 690, 150 is 2

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1. What is the GCD of 116, 600, 690, 150?

GCD of 116, 600, 690, 150 is 2

2. Where do I get the detailed procedure to find GCD of 116, 600, 690, 150?

You can find a detailed procedure to find GCD of 116, 600, 690, 150 on our page.

3. How to find GCD of 116, 600, 690, 150 on a calculator?

You can find the GCD of 116, 600, 690, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.