GCD of 365, 259, 87, 560 Calculator

Given Input numbers are 365, 259, 87, 560

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 365, 259, 87, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 259, 87, 560 is 1.

Therefore, GCD of numbers 365, 259, 87, 560 is 1

Given Input Data is 365, 259, 87, 560

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 259 is 7 x 37

Prime Factorization of 87 is 3 x 29

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(365, 259) = 94535

GCD(365, 259) = ( 365 x 259 ) / 94535

GCD(365, 259) = 94535 / 94535

GCD(365, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 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 365, 259, 87, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 331, 29, 842
• GCD of 247, 788, 22, 737
• GCD of 970, 810, 22, 853
• GCD of 915, 561, 31, 590
• GCD of 344, 604, 12, 473

1. What is the GCD of 365, 259, 87, 560?

GCD of 365, 259, 87, 560 is 1

2. Where do I get the detailed procedure to find GCD of 365, 259, 87, 560?

You can find a detailed procedure to find GCD of 365, 259, 87, 560 on our page.

3. How to find GCD of 365, 259, 87, 560 on a calculator?

You can find the GCD of 365, 259, 87, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.