GCD of 91, 560, 405, 987 Calculator

Given Input numbers are 91, 560, 405, 987

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 91, 560, 405, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 560, 405, 987 is 1.

Therefore, GCD of numbers 91, 560, 405, 987 is 1

Given Input Data is 91, 560, 405, 987

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

Prime Factorization of 91 is 7 x 13

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 987 is 3 x 7 x 47

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(91, 560) = 7280

GCD(91, 560) = ( 91 x 560 ) / 7280

GCD(91, 560) = 50960 / 7280

GCD(91, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 405

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

LCM(7, 405) = 2835

GCD(7, 405) = ( 7 x 405 ) / 2835

GCD(7, 405) = 2835 / 2835

GCD(7, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 91, 560, 405, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 746, 202, 832
• GCD of 52, 419, 222, 580
• GCD of 99, 918, 404, 390
• GCD of 21, 171, 478, 934
• GCD of 19, 499, 609, 248

1. What is the GCD of 91, 560, 405, 987?

GCD of 91, 560, 405, 987 is 1

2. Where do I get the detailed procedure to find GCD of 91, 560, 405, 987?

You can find a detailed procedure to find GCD of 91, 560, 405, 987 on our page.

3. How to find GCD of 91, 560, 405, 987 on a calculator?

You can find the GCD of 91, 560, 405, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.