GCD of 368, 148, 306, 767 Calculator

Given Input numbers are 368, 148, 306, 767

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 767

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

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 368, 148, 306, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 148, 306, 767 is 1.

Therefore, GCD of numbers 368, 148, 306, 767 is 1

Given Input Data is 368, 148, 306, 767

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 767 is 13 x 59

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(368, 148) = 13616

GCD(368, 148) = ( 368 x 148 ) / 13616

GCD(368, 148) = 54464 / 13616

GCD(368, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 306

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

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

GCD(4, 306) = 1224 / 612

GCD(4, 306) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

GCD of 368, 148, 306, 767 is 1

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1. What is the GCD of 368, 148, 306, 767?

GCD of 368, 148, 306, 767 is 1

2. Where do I get the detailed procedure to find GCD of 368, 148, 306, 767?

You can find a detailed procedure to find GCD of 368, 148, 306, 767 on our page.

3. How to find GCD of 368, 148, 306, 767 on a calculator?

You can find the GCD of 368, 148, 306, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.