GCD of 313, 741, 765, 492 Calculator

Given Input numbers are 313, 741, 765, 492

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 313, 741, 765, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 741, 765, 492 is 1.

Therefore, GCD of numbers 313, 741, 765, 492 is 1

Given Input Data is 313, 741, 765, 492

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

Prime Factorization of 313 is 313

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(313, 741) = 231933

GCD(313, 741) = ( 313 x 741 ) / 231933

GCD(313, 741) = 231933 / 231933

GCD(313, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 313, 741, 765, 492 is 1

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1. What is the GCD of 313, 741, 765, 492?

GCD of 313, 741, 765, 492 is 1

2. Where do I get the detailed procedure to find GCD of 313, 741, 765, 492?

You can find a detailed procedure to find GCD of 313, 741, 765, 492 on our page.

3. How to find GCD of 313, 741, 765, 492 on a calculator?

You can find the GCD of 313, 741, 765, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.