GCD of 786, 570, 94, 636 Calculator

Given Input numbers are 786, 570, 94, 636

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 786, 570, 94, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 570, 94, 636 is 2.

Therefore, GCD of numbers 786, 570, 94, 636 is 2

Given Input Data is 786, 570, 94, 636

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 94 is 2 x 47

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(786, 570) = 74670

GCD(786, 570) = ( 786 x 570 ) / 74670

GCD(786, 570) = 448020 / 74670

GCD(786, 570) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 94

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

LCM(6, 94) = 282

GCD(6, 94) = ( 6 x 94 ) / 282

GCD(6, 94) = 564 / 282

GCD(6, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 786, 570, 94, 636 is 2

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1. What is the GCD of 786, 570, 94, 636?

GCD of 786, 570, 94, 636 is 2

2. Where do I get the detailed procedure to find GCD of 786, 570, 94, 636?

You can find a detailed procedure to find GCD of 786, 570, 94, 636 on our page.

3. How to find GCD of 786, 570, 94, 636 on a calculator?

You can find the GCD of 786, 570, 94, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.