GCD of 46, 6, 91, 65 Calculator

Given Input numbers are 46, 6, 91, 65

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

Divisors of 46

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

1, 2, 23, 46

Divisors of 6

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

1, 2, 3, 6

Divisors of 91

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

1, 7, 13, 91

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 46, 6, 91, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 6, 91, 65 is 1.

Therefore, GCD of numbers 46, 6, 91, 65 is 1

Given Input Data is 46, 6, 91, 65

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 6 is 2 x 3

Prime Factorization of 91 is 7 x 13

Prime Factorization of 65 is 5 x 13

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(46, 6) = 138

GCD(46, 6) = ( 46 x 6 ) / 138

GCD(46, 6) = 276 / 138

GCD(46, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 46, 6, 91, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 7, 75, 27
• GCD of 29, 5, 38, 93
• GCD of 28, 1, 44, 10
• GCD of 57, 6, 20, 50
• GCD of 99, 1, 22, 39

1. What is the GCD of 46, 6, 91, 65?

GCD of 46, 6, 91, 65 is 1

2. Where do I get the detailed procedure to find GCD of 46, 6, 91, 65?

You can find a detailed procedure to find GCD of 46, 6, 91, 65 on our page.

3. How to find GCD of 46, 6, 91, 65 on a calculator?

You can find the GCD of 46, 6, 91, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.