GCD of 725, 966, 53, 218 Calculator

Given Input numbers are 725, 966, 53, 218

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 725, 966, 53, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 966, 53, 218 is 1.

Therefore, GCD of numbers 725, 966, 53, 218 is 1

Given Input Data is 725, 966, 53, 218

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 53 is 53

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(725, 966) = 700350

GCD(725, 966) = ( 725 x 966 ) / 700350

GCD(725, 966) = 700350 / 700350

GCD(725, 966) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 725, 966, 53, 218 is 1

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1. What is the GCD of 725, 966, 53, 218?

GCD of 725, 966, 53, 218 is 1

2. Where do I get the detailed procedure to find GCD of 725, 966, 53, 218?

You can find a detailed procedure to find GCD of 725, 966, 53, 218 on our page.

3. How to find GCD of 725, 966, 53, 218 on a calculator?

You can find the GCD of 725, 966, 53, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.