GCD of 385, 187, 308, 759 Calculator

Given Input numbers are 385, 187, 308, 759

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 385, 187, 308, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 187, 308, 759 is 11.

Therefore, GCD of numbers 385, 187, 308, 759 is 11

Given Input Data is 385, 187, 308, 759

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 187 is 11 x 17

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 759 is 3 x 11 x 23

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(385, 187) = 6545

GCD(385, 187) = ( 385 x 187 ) / 6545

GCD(385, 187) = 71995 / 6545

GCD(385, 187) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 308

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

LCM(11, 308) = 308

GCD(11, 308) = ( 11 x 308 ) / 308

GCD(11, 308) = 3388 / 308

GCD(11, 308) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 759

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

LCM(11, 759) = 759

GCD(11, 759) = ( 11 x 759 ) / 759

GCD(11, 759) = 8349 / 759

GCD(11, 759) = 11

GCD of 385, 187, 308, 759 is 11

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1. What is the GCD of 385, 187, 308, 759?

GCD of 385, 187, 308, 759 is 11

2. Where do I get the detailed procedure to find GCD of 385, 187, 308, 759?

You can find a detailed procedure to find GCD of 385, 187, 308, 759 on our page.

3. How to find GCD of 385, 187, 308, 759 on a calculator?

You can find the GCD of 385, 187, 308, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.