GCD of 87, 39, 10, 46 Calculator

Given Input numbers are 87, 39, 10, 46

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

Divisors of 87

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

1, 3, 29, 87

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 46

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

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 87, 39, 10, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 39, 10, 46 is 1.

Therefore, GCD of numbers 87, 39, 10, 46 is 1

Given Input Data is 87, 39, 10, 46

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 39 is 3 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 46 is 2 x 23

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(87, 39) = 1131

GCD(87, 39) = ( 87 x 39 ) / 1131

GCD(87, 39) = 3393 / 1131

GCD(87, 39) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

GCD of 87, 39, 10, 46 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 37, 19, 81
• GCD of 69, 24, 59, 33
• GCD of 30, 92, 38, 32
• GCD of 35, 83, 19, 88
• GCD of 81, 24, 67, 18

1. What is the GCD of 87, 39, 10, 46?

GCD of 87, 39, 10, 46 is 1

2. Where do I get the detailed procedure to find GCD of 87, 39, 10, 46?

You can find a detailed procedure to find GCD of 87, 39, 10, 46 on our page.

3. How to find GCD of 87, 39, 10, 46 on a calculator?

You can find the GCD of 87, 39, 10, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.