GCD of 749, 216, 527 Calculator

Given Input numbers are 749, 216, 527

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 749, 216, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 216, 527 is 1.

Therefore, GCD of numbers 749, 216, 527 is 1

Given Input Data is 749, 216, 527

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 527 is 17 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(749, 216) = 161784

GCD(749, 216) = ( 749 x 216 ) / 161784

GCD(749, 216) = 161784 / 161784

GCD(749, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 749, 216, 527 is 1

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1. What is the GCD of 749, 216, 527?

GCD of 749, 216, 527 is 1

2. Where do I get the detailed procedure to find GCD of 749, 216, 527?

You can find a detailed procedure to find GCD of 749, 216, 527 on our page.

3. How to find GCD of 749, 216, 527 on a calculator?

You can find the GCD of 749, 216, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.