GCD of 453, 120, 793, 215 Calculator

Given Input numbers are 453, 120, 793, 215

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 453, 120, 793, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 120, 793, 215 is 1.

Therefore, GCD of numbers 453, 120, 793, 215 is 1

Given Input Data is 453, 120, 793, 215

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 793 is 13 x 61

Prime Factorization of 215 is 5 x 43

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(453, 120) = 18120

GCD(453, 120) = ( 453 x 120 ) / 18120

GCD(453, 120) = 54360 / 18120

GCD(453, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 793

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

LCM(3, 793) = 2379

GCD(3, 793) = ( 3 x 793 ) / 2379

GCD(3, 793) = 2379 / 2379

GCD(3, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 453, 120, 793, 215 is 1

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1. What is the GCD of 453, 120, 793, 215?

GCD of 453, 120, 793, 215 is 1

2. Where do I get the detailed procedure to find GCD of 453, 120, 793, 215?

You can find a detailed procedure to find GCD of 453, 120, 793, 215 on our page.

3. How to find GCD of 453, 120, 793, 215 on a calculator?

You can find the GCD of 453, 120, 793, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.