GCD of 780, 308, 809, 235 Calculator

Given Input numbers are 780, 308, 809, 235

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 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 780, 308, 809, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 308, 809, 235 is 1.

Therefore, GCD of numbers 780, 308, 809, 235 is 1

Given Input Data is 780, 308, 809, 235

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 308 is 2 x 2 x 7 x 11

Prime Factorization of 809 is 809

Prime Factorization of 235 is 5 x 47

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, 308) = 60060

GCD(780, 308) = ( 780 x 308 ) / 60060

GCD(780, 308) = 240240 / 60060

GCD(780, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 809

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

LCM(4, 809) = 3236

GCD(4, 809) = ( 4 x 809 ) / 3236

GCD(4, 809) = 3236 / 3236

GCD(4, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 780, 308, 809, 235 is 1

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• GCD of 331, 546, 814, 142
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1. What is the GCD of 780, 308, 809, 235?

GCD of 780, 308, 809, 235 is 1

2. Where do I get the detailed procedure to find GCD of 780, 308, 809, 235?

You can find a detailed procedure to find GCD of 780, 308, 809, 235 on our page.

3. How to find GCD of 780, 308, 809, 235 on a calculator?

You can find the GCD of 780, 308, 809, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.