GCD of 740, 922, 27, 590 Calculator

Given Input numbers are 740, 922, 27, 590

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 740, 922, 27, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 922, 27, 590 is 1.

Therefore, GCD of numbers 740, 922, 27, 590 is 1

Given Input Data is 740, 922, 27, 590

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 922 is 2 x 461

Prime Factorization of 27 is 3 x 3 x 3

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(740, 922) = 341140

GCD(740, 922) = ( 740 x 922 ) / 341140

GCD(740, 922) = 682280 / 341140

GCD(740, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 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 740, 922, 27, 590 is 1

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1. What is the GCD of 740, 922, 27, 590?

GCD of 740, 922, 27, 590 is 1

2. Where do I get the detailed procedure to find GCD of 740, 922, 27, 590?

You can find a detailed procedure to find GCD of 740, 922, 27, 590 on our page.

3. How to find GCD of 740, 922, 27, 590 on a calculator?

You can find the GCD of 740, 922, 27, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.