GCD of 91, 52, 65 Calculator

Given Input numbers are 91, 52, 65

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 91, 52, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 52, 65 is 13.

Therefore, GCD of numbers 91, 52, 65 is 13

Given Input Data is 91, 52, 65

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 65 is 5 x 13

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(91, 52) = 364

GCD(91, 52) = ( 91 x 52 ) / 364

GCD(91, 52) = 4732 / 364

GCD(91, 52) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 65

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

LCM(13, 65) = 65

GCD(13, 65) = ( 13 x 65 ) / 65

GCD(13, 65) = 845 / 65

GCD(13, 65) = 13

GCD of 91, 52, 65 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 31, 40
• GCD of 14, 10, 93
• GCD of 20, 79, 31
• GCD of 60, 99, 14
• GCD of 93, 45, 99

1. What is the GCD of 91, 52, 65?

GCD of 91, 52, 65 is 13

2. Where do I get the detailed procedure to find GCD of 91, 52, 65?

You can find a detailed procedure to find GCD of 91, 52, 65 on our page.

3. How to find GCD of 91, 52, 65 on a calculator?

You can find the GCD of 91, 52, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.