GCD of 730, 100, 364, 746 Calculator

Given Input numbers are 730, 100, 364, 746

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 730, 100, 364, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 100, 364, 746 is 2.

Therefore, GCD of numbers 730, 100, 364, 746 is 2

Given Input Data is 730, 100, 364, 746

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 746 is 2 x 373

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, 100) = 7300

GCD(730, 100) = ( 730 x 100 ) / 7300

GCD(730, 100) = 73000 / 7300

GCD(730, 100) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 364

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

LCM(10, 364) = 1820

GCD(10, 364) = ( 10 x 364 ) / 1820

GCD(10, 364) = 3640 / 1820

GCD(10, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 730, 100, 364, 746 is 2

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1. What is the GCD of 730, 100, 364, 746?

GCD of 730, 100, 364, 746 is 2

2. Where do I get the detailed procedure to find GCD of 730, 100, 364, 746?

You can find a detailed procedure to find GCD of 730, 100, 364, 746 on our page.

3. How to find GCD of 730, 100, 364, 746 on a calculator?

You can find the GCD of 730, 100, 364, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.