GCD of 780, 598, 329, 341 Calculator

Given Input numbers are 780, 598, 329, 341

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 329

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

1, 7, 47, 329

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 780, 598, 329, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 598, 329, 341 is 1.

Therefore, GCD of numbers 780, 598, 329, 341 is 1

Given Input Data is 780, 598, 329, 341

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 329 is 7 x 47

Prime Factorization of 341 is 11 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(780, 598) = 17940

GCD(780, 598) = ( 780 x 598 ) / 17940

GCD(780, 598) = 466440 / 17940

GCD(780, 598) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 329

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

LCM(26, 329) = 8554

GCD(26, 329) = ( 26 x 329 ) / 8554

GCD(26, 329) = 8554 / 8554

GCD(26, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 780, 598, 329, 341 is 1

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• GCD of 897, 437, 347, 146
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1. What is the GCD of 780, 598, 329, 341?

GCD of 780, 598, 329, 341 is 1

2. Where do I get the detailed procedure to find GCD of 780, 598, 329, 341?

You can find a detailed procedure to find GCD of 780, 598, 329, 341 on our page.

3. How to find GCD of 780, 598, 329, 341 on a calculator?

You can find the GCD of 780, 598, 329, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.