GCD of 767, 184, 309, 100 Calculator

Given Input numbers are 767, 184, 309, 100

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 309

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

1, 3, 103, 309

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 767, 184, 309, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 184, 309, 100 is 1.

Therefore, GCD of numbers 767, 184, 309, 100 is 1

Given Input Data is 767, 184, 309, 100

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 309 is 3 x 103

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(767, 184) = 141128

GCD(767, 184) = ( 767 x 184 ) / 141128

GCD(767, 184) = 141128 / 141128

GCD(767, 184) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 767, 184, 309, 100 is 1

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1. What is the GCD of 767, 184, 309, 100?

GCD of 767, 184, 309, 100 is 1

2. Where do I get the detailed procedure to find GCD of 767, 184, 309, 100?

You can find a detailed procedure to find GCD of 767, 184, 309, 100 on our page.

3. How to find GCD of 767, 184, 309, 100 on a calculator?

You can find the GCD of 767, 184, 309, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.