GCD of 51, 6, 46, 87 Calculator

Given Input numbers are 51, 6, 46, 87

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 6

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

1, 2, 3, 6

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 87

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

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 51, 6, 46, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 6, 46, 87 is 1.

Therefore, GCD of numbers 51, 6, 46, 87 is 1

Given Input Data is 51, 6, 46, 87

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 6 is 2 x 3

Prime Factorization of 46 is 2 x 23

Prime Factorization of 87 is 3 x 29

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(51, 6) = 102

GCD(51, 6) = ( 51 x 6 ) / 102

GCD(51, 6) = 306 / 102

GCD(51, 6) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

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

GCD of 51, 6, 46, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 8, 45, 45
• GCD of 67, 5, 19, 36
• GCD of 25, 4, 32, 48
• GCD of 32, 1, 12, 84
• GCD of 74, 5, 50, 47

1. What is the GCD of 51, 6, 46, 87?

GCD of 51, 6, 46, 87 is 1

2. Where do I get the detailed procedure to find GCD of 51, 6, 46, 87?

You can find a detailed procedure to find GCD of 51, 6, 46, 87 on our page.

3. How to find GCD of 51, 6, 46, 87 on a calculator?

You can find the GCD of 51, 6, 46, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.