GCD of 53, 725, 303, 714 Calculator

Given Input numbers are 53, 725, 303, 714

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

Divisors of 53

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

1, 53

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 53, 725, 303, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 725, 303, 714 is 1.

Therefore, GCD of numbers 53, 725, 303, 714 is 1

Given Input Data is 53, 725, 303, 714

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

Prime Factorization of 53 is 53

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 303 is 3 x 101

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(53, 725) = 38425

GCD(53, 725) = ( 53 x 725 ) / 38425

GCD(53, 725) = 38425 / 38425

GCD(53, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 53, 725, 303, 714 is 1

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1. What is the GCD of 53, 725, 303, 714?

GCD of 53, 725, 303, 714 is 1

2. Where do I get the detailed procedure to find GCD of 53, 725, 303, 714?

You can find a detailed procedure to find GCD of 53, 725, 303, 714 on our page.

3. How to find GCD of 53, 725, 303, 714 on a calculator?

You can find the GCD of 53, 725, 303, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.