GCD of 360, 895, 91, 586 Calculator

Given Input numbers are 360, 895, 91, 586

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 91

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

1, 7, 13, 91

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 360, 895, 91, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 895, 91, 586 is 1.

Therefore, GCD of numbers 360, 895, 91, 586 is 1

Given Input Data is 360, 895, 91, 586

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 895 is 5 x 179

Prime Factorization of 91 is 7 x 13

Prime Factorization of 586 is 2 x 293

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(360, 895) = 64440

GCD(360, 895) = ( 360 x 895 ) / 64440

GCD(360, 895) = 322200 / 64440

GCD(360, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 91

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

LCM(5, 91) = 455

GCD(5, 91) = ( 5 x 91 ) / 455

GCD(5, 91) = 455 / 455

GCD(5, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 360, 895, 91, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 341, 95, 813
• GCD of 862, 360, 38, 840
• GCD of 278, 169, 76, 597
• GCD of 937, 338, 85, 351
• GCD of 319, 735, 29, 567

1. What is the GCD of 360, 895, 91, 586?

GCD of 360, 895, 91, 586 is 1

2. Where do I get the detailed procedure to find GCD of 360, 895, 91, 586?

You can find a detailed procedure to find GCD of 360, 895, 91, 586 on our page.

3. How to find GCD of 360, 895, 91, 586 on a calculator?

You can find the GCD of 360, 895, 91, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.