GCD of 315, 354, 368, 868 Calculator

Given Input numbers are 315, 354, 368, 868

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 315, 354, 368, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 354, 368, 868 is 1.

Therefore, GCD of numbers 315, 354, 368, 868 is 1

Given Input Data is 315, 354, 368, 868

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(315, 354) = 37170

GCD(315, 354) = ( 315 x 354 ) / 37170

GCD(315, 354) = 111510 / 37170

GCD(315, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 368

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

LCM(3, 368) = 1104

GCD(3, 368) = ( 3 x 368 ) / 1104

GCD(3, 368) = 1104 / 1104

GCD(3, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 315, 354, 368, 868 is 1

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1. What is the GCD of 315, 354, 368, 868?

GCD of 315, 354, 368, 868 is 1

2. Where do I get the detailed procedure to find GCD of 315, 354, 368, 868?

You can find a detailed procedure to find GCD of 315, 354, 368, 868 on our page.

3. How to find GCD of 315, 354, 368, 868 on a calculator?

You can find the GCD of 315, 354, 368, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.