GCD of 114, 612, 376, 775 Calculator

Given Input numbers are 114, 612, 376, 775

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 114, 612, 376, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 612, 376, 775 is 1.

Therefore, GCD of numbers 114, 612, 376, 775 is 1

Given Input Data is 114, 612, 376, 775

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 775 is 5 x 5 x 31

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(114, 612) = 11628

GCD(114, 612) = ( 114 x 612 ) / 11628

GCD(114, 612) = 69768 / 11628

GCD(114, 612) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 376

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

LCM(6, 376) = 1128

GCD(6, 376) = ( 6 x 376 ) / 1128

GCD(6, 376) = 2256 / 1128

GCD(6, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 114, 612, 376, 775 is 1

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1. What is the GCD of 114, 612, 376, 775?

GCD of 114, 612, 376, 775 is 1

2. Where do I get the detailed procedure to find GCD of 114, 612, 376, 775?

You can find a detailed procedure to find GCD of 114, 612, 376, 775 on our page.

3. How to find GCD of 114, 612, 376, 775 on a calculator?

You can find the GCD of 114, 612, 376, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.