GCD of 747, 132, 540 Calculator

Given Input numbers are 747, 132, 540

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 747, 132, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 132, 540 is 3.

Therefore, GCD of numbers 747, 132, 540 is 3

Given Input Data is 747, 132, 540

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 132 is 2 x 2 x 3 x 11

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(747, 132) = 32868

GCD(747, 132) = ( 747 x 132 ) / 32868

GCD(747, 132) = 98604 / 32868

GCD(747, 132) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

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

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

GCD of 747, 132, 540 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 507, 752
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1. What is the GCD of 747, 132, 540?

GCD of 747, 132, 540 is 3

2. Where do I get the detailed procedure to find GCD of 747, 132, 540?

You can find a detailed procedure to find GCD of 747, 132, 540 on our page.

3. How to find GCD of 747, 132, 540 on a calculator?

You can find the GCD of 747, 132, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.