GCD of 313, 766, 379, 348 Calculator

Given Input numbers are 313, 766, 379, 348

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 313, 766, 379, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 766, 379, 348 is 1.

Therefore, GCD of numbers 313, 766, 379, 348 is 1

Given Input Data is 313, 766, 379, 348

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

Prime Factorization of 313 is 313

Prime Factorization of 766 is 2 x 383

Prime Factorization of 379 is 379

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 766) = 239758

GCD(313, 766) = ( 313 x 766 ) / 239758

GCD(313, 766) = 239758 / 239758

GCD(313, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 313, 766, 379, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 148, 198, 693
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1. What is the GCD of 313, 766, 379, 348?

GCD of 313, 766, 379, 348 is 1

2. Where do I get the detailed procedure to find GCD of 313, 766, 379, 348?

You can find a detailed procedure to find GCD of 313, 766, 379, 348 on our page.

3. How to find GCD of 313, 766, 379, 348 on a calculator?

You can find the GCD of 313, 766, 379, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.