GCD of 345, 756, 93, 311 Calculator

Given Input numbers are 345, 756, 93, 311

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 93

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

1, 3, 31, 93

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 345, 756, 93, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 756, 93, 311 is 1.

Therefore, GCD of numbers 345, 756, 93, 311 is 1

Given Input Data is 345, 756, 93, 311

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 93 is 3 x 31

Prime Factorization of 311 is 311

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(345, 756) = 86940

GCD(345, 756) = ( 345 x 756 ) / 86940

GCD(345, 756) = 260820 / 86940

GCD(345, 756) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 311

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

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

GCD(3, 311) = 933 / 933

GCD(3, 311) = 1

GCD of 345, 756, 93, 311 is 1

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• GCD of 745, 742, 80, 257
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1. What is the GCD of 345, 756, 93, 311?

GCD of 345, 756, 93, 311 is 1

2. Where do I get the detailed procedure to find GCD of 345, 756, 93, 311?

You can find a detailed procedure to find GCD of 345, 756, 93, 311 on our page.

3. How to find GCD of 345, 756, 93, 311 on a calculator?

You can find the GCD of 345, 756, 93, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.