GCD of 49, 69, 17, 65 Calculator

Given Input numbers are 49, 69, 17, 65

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 49, 69, 17, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 69, 17, 65 is 1.

Therefore, GCD of numbers 49, 69, 17, 65 is 1

Given Input Data is 49, 69, 17, 65

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 17 is 17

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(49, 69) = 3381

GCD(49, 69) = ( 49 x 69 ) / 3381

GCD(49, 69) = 3381 / 3381

GCD(49, 69) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 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 49, 69, 17, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 58, 14, 18
• GCD of 30, 94, 57, 12
• GCD of 50, 20, 13, 87
• GCD of 18, 25, 25, 58
• GCD of 33, 57, 74, 60

1. What is the GCD of 49, 69, 17, 65?

GCD of 49, 69, 17, 65 is 1

2. Where do I get the detailed procedure to find GCD of 49, 69, 17, 65?

You can find a detailed procedure to find GCD of 49, 69, 17, 65 on our page.

3. How to find GCD of 49, 69, 17, 65 on a calculator?

You can find the GCD of 49, 69, 17, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.