GCD of 852, 918, 60, 505 Calculator

Given Input numbers are 852, 918, 60, 505

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 852, 918, 60, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 918, 60, 505 is 1.

Therefore, GCD of numbers 852, 918, 60, 505 is 1

Given Input Data is 852, 918, 60, 505

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 505 is 5 x 101

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(852, 918) = 130356

GCD(852, 918) = ( 852 x 918 ) / 130356

GCD(852, 918) = 782136 / 130356

GCD(852, 918) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 505

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

LCM(6, 505) = 3030

GCD(6, 505) = ( 6 x 505 ) / 3030

GCD(6, 505) = 3030 / 3030

GCD(6, 505) = 1

GCD of 852, 918, 60, 505 is 1

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1. What is the GCD of 852, 918, 60, 505?

GCD of 852, 918, 60, 505 is 1

2. Where do I get the detailed procedure to find GCD of 852, 918, 60, 505?

You can find a detailed procedure to find GCD of 852, 918, 60, 505 on our page.

3. How to find GCD of 852, 918, 60, 505 on a calculator?

You can find the GCD of 852, 918, 60, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.