GCD of 29, 45, 49, 34 Calculator

Given Input numbers are 29, 45, 49, 34

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 49

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

1, 7, 49

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 29, 45, 49, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 45, 49, 34 is 1.

Therefore, GCD of numbers 29, 45, 49, 34 is 1

Given Input Data is 29, 45, 49, 34

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

Prime Factorization of 29 is 29

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 49 is 7 x 7

Prime Factorization of 34 is 2 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(29, 45) = 1305

GCD(29, 45) = ( 29 x 45 ) / 1305

GCD(29, 45) = 1305 / 1305

GCD(29, 45) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 29, 45, 49, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 44, 15, 90
• GCD of 93, 43, 48, 75
• GCD of 41, 63, 72, 82
• GCD of 18, 32, 82, 60
• GCD of 35, 40, 91, 31

1. What is the GCD of 29, 45, 49, 34?

GCD of 29, 45, 49, 34 is 1

2. Where do I get the detailed procedure to find GCD of 29, 45, 49, 34?

You can find a detailed procedure to find GCD of 29, 45, 49, 34 on our page.

3. How to find GCD of 29, 45, 49, 34 on a calculator?

You can find the GCD of 29, 45, 49, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.