GCD of 780, 764, 309, 233 Calculator

Given Input numbers are 780, 764, 309, 233

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 780, 764, 309, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 764, 309, 233 is 1.

Therefore, GCD of numbers 780, 764, 309, 233 is 1

Given Input Data is 780, 764, 309, 233

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 764 is 2 x 2 x 191

Prime Factorization of 309 is 3 x 103

Prime Factorization of 233 is 233

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, 764) = 148980

GCD(780, 764) = ( 780 x 764 ) / 148980

GCD(780, 764) = 595920 / 148980

GCD(780, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 309

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

LCM(4, 309) = 1236

GCD(4, 309) = ( 4 x 309 ) / 1236

GCD(4, 309) = 1236 / 1236

GCD(4, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

GCD of 780, 764, 309, 233 is 1

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1. What is the GCD of 780, 764, 309, 233?

GCD of 780, 764, 309, 233 is 1

2. Where do I get the detailed procedure to find GCD of 780, 764, 309, 233?

You can find a detailed procedure to find GCD of 780, 764, 309, 233 on our page.

3. How to find GCD of 780, 764, 309, 233 on a calculator?

You can find the GCD of 780, 764, 309, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.