GCD of 85, 6, 14, 57 Calculator

Given Input numbers are 85, 6, 14, 57

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 85, 6, 14, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 6, 14, 57 is 1.

Therefore, GCD of numbers 85, 6, 14, 57 is 1

Given Input Data is 85, 6, 14, 57

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 6 is 2 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 57 is 3 x 19

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(85, 6) = 510

GCD(85, 6) = ( 85 x 6 ) / 510

GCD(85, 6) = 510 / 510

GCD(85, 6) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

GCD of 85, 6, 14, 57 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 8, 82, 54
• GCD of 10, 5, 61, 14
• GCD of 99, 6, 93, 38
• GCD of 36, 8, 77, 72
• GCD of 90, 5, 20, 11

1. What is the GCD of 85, 6, 14, 57?

GCD of 85, 6, 14, 57 is 1

2. Where do I get the detailed procedure to find GCD of 85, 6, 14, 57?

You can find a detailed procedure to find GCD of 85, 6, 14, 57 on our page.

3. How to find GCD of 85, 6, 14, 57 on a calculator?

You can find the GCD of 85, 6, 14, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.