GCD of 753, 783, 660, 218 Calculator

Given Input numbers are 753, 783, 660, 218

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 753, 783, 660, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 783, 660, 218 is 1.

Therefore, GCD of numbers 753, 783, 660, 218 is 1

Given Input Data is 753, 783, 660, 218

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 218 is 2 x 109

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(753, 783) = 196533

GCD(753, 783) = ( 753 x 783 ) / 196533

GCD(753, 783) = 589599 / 196533

GCD(753, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 660

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

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

GCD(3, 660) = 1980 / 660

GCD(3, 660) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 218

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

LCM(3, 218) = 654

GCD(3, 218) = ( 3 x 218 ) / 654

GCD(3, 218) = 654 / 654

GCD(3, 218) = 1

GCD of 753, 783, 660, 218 is 1

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• GCD of 527, 349, 467, 896
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1. What is the GCD of 753, 783, 660, 218?

GCD of 753, 783, 660, 218 is 1

2. Where do I get the detailed procedure to find GCD of 753, 783, 660, 218?

You can find a detailed procedure to find GCD of 753, 783, 660, 218 on our page.

3. How to find GCD of 753, 783, 660, 218 on a calculator?

You can find the GCD of 753, 783, 660, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.