GCD of 730, 975, 93, 742 Calculator

Given Input numbers are 730, 975, 93, 742

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 730, 975, 93, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 975, 93, 742 is 1.

Therefore, GCD of numbers 730, 975, 93, 742 is 1

Given Input Data is 730, 975, 93, 742

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 93 is 3 x 31

Prime Factorization of 742 is 2 x 7 x 53

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(730, 975) = 142350

GCD(730, 975) = ( 730 x 975 ) / 142350

GCD(730, 975) = 711750 / 142350

GCD(730, 975) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 93

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

LCM(5, 93) = 465

GCD(5, 93) = ( 5 x 93 ) / 465

GCD(5, 93) = 465 / 465

GCD(5, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 730, 975, 93, 742 is 1

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1. What is the GCD of 730, 975, 93, 742?

GCD of 730, 975, 93, 742 is 1

2. Where do I get the detailed procedure to find GCD of 730, 975, 93, 742?

You can find a detailed procedure to find GCD of 730, 975, 93, 742 on our page.

3. How to find GCD of 730, 975, 93, 742 on a calculator?

You can find the GCD of 730, 975, 93, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.