GCD of 872, 560, 15, 105 Calculator

Given Input numbers are 872, 560, 15, 105

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 872, 560, 15, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 560, 15, 105 is 1.

Therefore, GCD of numbers 872, 560, 15, 105 is 1

Given Input Data is 872, 560, 15, 105

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 105 is 3 x 5 x 7

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(872, 560) = 61040

GCD(872, 560) = ( 872 x 560 ) / 61040

GCD(872, 560) = 488320 / 61040

GCD(872, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 15

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

LCM(8, 15) = 120

GCD(8, 15) = ( 8 x 15 ) / 120

GCD(8, 15) = 120 / 120

GCD(8, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 872, 560, 15, 105 is 1

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1. What is the GCD of 872, 560, 15, 105?

GCD of 872, 560, 15, 105 is 1

2. Where do I get the detailed procedure to find GCD of 872, 560, 15, 105?

You can find a detailed procedure to find GCD of 872, 560, 15, 105 on our page.

3. How to find GCD of 872, 560, 15, 105 on a calculator?

You can find the GCD of 872, 560, 15, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.