GCD of 86, 72, 10, 35 Calculator

Given Input numbers are 86, 72, 10, 35

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 10

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

1, 2, 5, 10

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 86, 72, 10, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 72, 10, 35 is 1.

Therefore, GCD of numbers 86, 72, 10, 35 is 1

Given Input Data is 86, 72, 10, 35

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 10 is 2 x 5

Prime Factorization of 35 is 5 x 7

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(86, 72) = 3096

GCD(86, 72) = ( 86 x 72 ) / 3096

GCD(86, 72) = 6192 / 3096

GCD(86, 72) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

GCD of 86, 72, 10, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 97, 32, 65
• GCD of 86, 45, 53, 77
• GCD of 32, 26, 99, 77
• GCD of 32, 52, 17, 60
• GCD of 61, 76, 75, 50

1. What is the GCD of 86, 72, 10, 35?

GCD of 86, 72, 10, 35 is 1

2. Where do I get the detailed procedure to find GCD of 86, 72, 10, 35?

You can find a detailed procedure to find GCD of 86, 72, 10, 35 on our page.

3. How to find GCD of 86, 72, 10, 35 on a calculator?

You can find the GCD of 86, 72, 10, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.