GCD of 120, 885, 459, 715 Calculator

Given Input numbers are 120, 885, 459, 715

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

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 120, 885, 459, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 885, 459, 715 is 1.

Therefore, GCD of numbers 120, 885, 459, 715 is 1

Given Input Data is 120, 885, 459, 715

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

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

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 715 is 5 x 11 x 13

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(120, 885) = 7080

GCD(120, 885) = ( 120 x 885 ) / 7080

GCD(120, 885) = 106200 / 7080

GCD(120, 885) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 459

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

LCM(15, 459) = 2295

GCD(15, 459) = ( 15 x 459 ) / 2295

GCD(15, 459) = 6885 / 2295

GCD(15, 459) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 715

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

LCM(3, 715) = 2145

GCD(3, 715) = ( 3 x 715 ) / 2145

GCD(3, 715) = 2145 / 2145

GCD(3, 715) = 1

GCD of 120, 885, 459, 715 is 1

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1. What is the GCD of 120, 885, 459, 715?

GCD of 120, 885, 459, 715 is 1

2. Where do I get the detailed procedure to find GCD of 120, 885, 459, 715?

You can find a detailed procedure to find GCD of 120, 885, 459, 715 on our page.

3. How to find GCD of 120, 885, 459, 715 on a calculator?

You can find the GCD of 120, 885, 459, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.