GCD of 747, 594, 945 Calculator

Given Input numbers are 747, 594, 945

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 747, 594, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 594, 945 is 9.

Therefore, GCD of numbers 747, 594, 945 is 9

Given Input Data is 747, 594, 945

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(747, 594) = 49302

GCD(747, 594) = ( 747 x 594 ) / 49302

GCD(747, 594) = 443718 / 49302

GCD(747, 594) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 945

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

LCM(9, 945) = 945

GCD(9, 945) = ( 9 x 945 ) / 945

GCD(9, 945) = 8505 / 945

GCD(9, 945) = 9

GCD of 747, 594, 945 is 9

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1. What is the GCD of 747, 594, 945?

GCD of 747, 594, 945 is 9

2. Where do I get the detailed procedure to find GCD of 747, 594, 945?

You can find a detailed procedure to find GCD of 747, 594, 945 on our page.

3. How to find GCD of 747, 594, 945 on a calculator?

You can find the GCD of 747, 594, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.