GCD of 730, 124, 590, 740 Calculator

Given Input numbers are 730, 124, 590, 740

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 590

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

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

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

Greatest Common Divisior

We found the divisors of 730, 124, 590, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 124, 590, 740 is 2.

Therefore, GCD of numbers 730, 124, 590, 740 is 2

Given Input Data is 730, 124, 590, 740

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 590 is 2 x 5 x 59

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

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(730, 124) = 45260

GCD(730, 124) = ( 730 x 124 ) / 45260

GCD(730, 124) = 90520 / 45260

GCD(730, 124) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 740

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

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

GCD(2, 740) = 1480 / 740

GCD(2, 740) = 2

GCD of 730, 124, 590, 740 is 2

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1. What is the GCD of 730, 124, 590, 740?

GCD of 730, 124, 590, 740 is 2

2. Where do I get the detailed procedure to find GCD of 730, 124, 590, 740?

You can find a detailed procedure to find GCD of 730, 124, 590, 740 on our page.

3. How to find GCD of 730, 124, 590, 740 on a calculator?

You can find the GCD of 730, 124, 590, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.