GCD of 735, 289, 80, 452 Calculator

Given Input numbers are 735, 289, 80, 452

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 735, 289, 80, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 289, 80, 452 is 1.

Therefore, GCD of numbers 735, 289, 80, 452 is 1

Given Input Data is 735, 289, 80, 452

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 289 is 17 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 452 is 2 x 2 x 113

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(735, 289) = 212415

GCD(735, 289) = ( 735 x 289 ) / 212415

GCD(735, 289) = 212415 / 212415

GCD(735, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 735, 289, 80, 452 is 1

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1. What is the GCD of 735, 289, 80, 452?

GCD of 735, 289, 80, 452 is 1

2. Where do I get the detailed procedure to find GCD of 735, 289, 80, 452?

You can find a detailed procedure to find GCD of 735, 289, 80, 452 on our page.

3. How to find GCD of 735, 289, 80, 452 on a calculator?

You can find the GCD of 735, 289, 80, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.