GCD of 854, 792, 60, 117 Calculator

Given Input numbers are 854, 792, 60, 117

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 854, 792, 60, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 792, 60, 117 is 1.

Therefore, GCD of numbers 854, 792, 60, 117 is 1

Given Input Data is 854, 792, 60, 117

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 117 is 3 x 3 x 13

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(854, 792) = 338184

GCD(854, 792) = ( 854 x 792 ) / 338184

GCD(854, 792) = 676368 / 338184

GCD(854, 792) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 854, 792, 60, 117 is 1

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1. What is the GCD of 854, 792, 60, 117?

GCD of 854, 792, 60, 117 is 1

2. Where do I get the detailed procedure to find GCD of 854, 792, 60, 117?

You can find a detailed procedure to find GCD of 854, 792, 60, 117 on our page.

3. How to find GCD of 854, 792, 60, 117 on a calculator?

You can find the GCD of 854, 792, 60, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.