GCD of 766, 182, 314, 315 Calculator

Given Input numbers are 766, 182, 314, 315

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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

Greatest Common Divisior

We found the divisors of 766, 182, 314, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 182, 314, 315 is 1.

Therefore, GCD of numbers 766, 182, 314, 315 is 1

Given Input Data is 766, 182, 314, 315

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 314 is 2 x 157

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

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(766, 182) = 69706

GCD(766, 182) = ( 766 x 182 ) / 69706

GCD(766, 182) = 139412 / 69706

GCD(766, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 766, 182, 314, 315 is 1

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1. What is the GCD of 766, 182, 314, 315?

GCD of 766, 182, 314, 315 is 1

2. Where do I get the detailed procedure to find GCD of 766, 182, 314, 315?

You can find a detailed procedure to find GCD of 766, 182, 314, 315 on our page.

3. How to find GCD of 766, 182, 314, 315 on a calculator?

You can find the GCD of 766, 182, 314, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.