GCD of 312, 765, 66, 636 Calculator

Given Input numbers are 312, 765, 66, 636

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 312, 765, 66, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 765, 66, 636 is 3.

Therefore, GCD of numbers 312, 765, 66, 636 is 3

Given Input Data is 312, 765, 66, 636

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 636 is 2 x 2 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(312, 765) = 79560

GCD(312, 765) = ( 312 x 765 ) / 79560

GCD(312, 765) = 238680 / 79560

GCD(312, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 636

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

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

GCD(3, 636) = 1908 / 636

GCD(3, 636) = 3

GCD of 312, 765, 66, 636 is 3

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• GCD of 174, 108, 66, 924
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• GCD of 754, 104, 64, 563
• GCD of 365, 411, 15, 638

1. What is the GCD of 312, 765, 66, 636?

GCD of 312, 765, 66, 636 is 3

2. Where do I get the detailed procedure to find GCD of 312, 765, 66, 636?

You can find a detailed procedure to find GCD of 312, 765, 66, 636 on our page.

3. How to find GCD of 312, 765, 66, 636 on a calculator?

You can find the GCD of 312, 765, 66, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.