GCD of 150, 228, 694, 590 Calculator

Given Input numbers are 150, 228, 694, 590

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

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 150, 228, 694, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 228, 694, 590 is 2.

Therefore, GCD of numbers 150, 228, 694, 590 is 2

Given Input Data is 150, 228, 694, 590

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 694 is 2 x 347

Prime Factorization of 590 is 2 x 5 x 59

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(150, 228) = 5700

GCD(150, 228) = ( 150 x 228 ) / 5700

GCD(150, 228) = 34200 / 5700

GCD(150, 228) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 694

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

LCM(6, 694) = 2082

GCD(6, 694) = ( 6 x 694 ) / 2082

GCD(6, 694) = 4164 / 2082

GCD(6, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 150, 228, 694, 590 is 2

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• GCD of 768, 143, 407, 727
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1. What is the GCD of 150, 228, 694, 590?

GCD of 150, 228, 694, 590 is 2

2. Where do I get the detailed procedure to find GCD of 150, 228, 694, 590?

You can find a detailed procedure to find GCD of 150, 228, 694, 590 on our page.

3. How to find GCD of 150, 228, 694, 590 on a calculator?

You can find the GCD of 150, 228, 694, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.