GCD of 313, 734, 372, 769 Calculator

Given Input numbers are 313, 734, 372, 769

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 313, 734, 372, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 734, 372, 769 is 1.

Therefore, GCD of numbers 313, 734, 372, 769 is 1

Given Input Data is 313, 734, 372, 769

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

Prime Factorization of 313 is 313

Prime Factorization of 734 is 2 x 367

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 769 is 769

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, 734) = 229742

GCD(313, 734) = ( 313 x 734 ) / 229742

GCD(313, 734) = 229742 / 229742

GCD(313, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 313, 734, 372, 769 is 1

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1. What is the GCD of 313, 734, 372, 769?

GCD of 313, 734, 372, 769 is 1

2. Where do I get the detailed procedure to find GCD of 313, 734, 372, 769?

You can find a detailed procedure to find GCD of 313, 734, 372, 769 on our page.

3. How to find GCD of 313, 734, 372, 769 on a calculator?

You can find the GCD of 313, 734, 372, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.