GCD of 10, 64, 16, 85 Calculator

Given Input numbers are 10, 64, 16, 85

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 85

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

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 10, 64, 16, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 64, 16, 85 is 1.

Therefore, GCD of numbers 10, 64, 16, 85 is 1

Given Input Data is 10, 64, 16, 85

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 85 is 5 x 17

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(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

GCD(10, 64) = 640 / 320

GCD(10, 64) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

GCD of 10, 64, 16, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 41, 24, 40
• GCD of 94, 99, 82, 12
• GCD of 19, 56, 77, 62
• GCD of 65, 21, 85, 87
• GCD of 38, 91, 52, 15

1. What is the GCD of 10, 64, 16, 85?

GCD of 10, 64, 16, 85 is 1

2. Where do I get the detailed procedure to find GCD of 10, 64, 16, 85?

You can find a detailed procedure to find GCD of 10, 64, 16, 85 on our page.

3. How to find GCD of 10, 64, 16, 85 on a calculator?

You can find the GCD of 10, 64, 16, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.