GCD of 329, 781, 278, 345 Calculator

Given Input numbers are 329, 781, 278, 345

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 329, 781, 278, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 781, 278, 345 is 1.

Therefore, GCD of numbers 329, 781, 278, 345 is 1

Given Input Data is 329, 781, 278, 345

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 781 is 11 x 71

Prime Factorization of 278 is 2 x 139

Prime Factorization of 345 is 3 x 5 x 23

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(329, 781) = 256949

GCD(329, 781) = ( 329 x 781 ) / 256949

GCD(329, 781) = 256949 / 256949

GCD(329, 781) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 329, 781, 278, 345 is 1

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1. What is the GCD of 329, 781, 278, 345?

GCD of 329, 781, 278, 345 is 1

2. Where do I get the detailed procedure to find GCD of 329, 781, 278, 345?

You can find a detailed procedure to find GCD of 329, 781, 278, 345 on our page.

3. How to find GCD of 329, 781, 278, 345 on a calculator?

You can find the GCD of 329, 781, 278, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.