GCD of 15, 988, 111, 560 Calculator

Given Input numbers are 15, 988, 111, 560

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

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

Greatest Common Divisior

We found the divisors of 15, 988, 111, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 988, 111, 560 is 1.

Therefore, GCD of numbers 15, 988, 111, 560 is 1

Given Input Data is 15, 988, 111, 560

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 111 is 3 x 37

Prime Factorization of 560 is 2 x 2 x 2 x 2 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(15, 988) = 14820

GCD(15, 988) = ( 15 x 988 ) / 14820

GCD(15, 988) = 14820 / 14820

GCD(15, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 15, 988, 111, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 881, 636, 391
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• GCD of 18, 500, 650, 148
• GCD of 90, 107, 335, 912

1. What is the GCD of 15, 988, 111, 560?

GCD of 15, 988, 111, 560 is 1

2. Where do I get the detailed procedure to find GCD of 15, 988, 111, 560?

You can find a detailed procedure to find GCD of 15, 988, 111, 560 on our page.

3. How to find GCD of 15, 988, 111, 560 on a calculator?

You can find the GCD of 15, 988, 111, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.