GCD of 150, 266, 681, 590 Calculator

Given Input numbers are 150, 266, 681, 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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

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, 266, 681, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 266, 681, 590 is 1.

Therefore, GCD of numbers 150, 266, 681, 590 is 1

Given Input Data is 150, 266, 681, 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 266 is 2 x 7 x 19

Prime Factorization of 681 is 3 x 227

Prime Factorization of 590 is 2 x 5 x 59

The above numbers do not have any common prime factor. So GCD is 1

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, 266) = 19950

GCD(150, 266) = ( 150 x 266 ) / 19950

GCD(150, 266) = 39900 / 19950

GCD(150, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 150, 266, 681, 590 is 1

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1. What is the GCD of 150, 266, 681, 590?

GCD of 150, 266, 681, 590 is 1

2. Where do I get the detailed procedure to find GCD of 150, 266, 681, 590?

You can find a detailed procedure to find GCD of 150, 266, 681, 590 on our page.

3. How to find GCD of 150, 266, 681, 590 on a calculator?

You can find the GCD of 150, 266, 681, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.