GCD of 74, 18, 29, 61 Calculator

Given Input numbers are 74, 18, 29, 61

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 29

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

1, 29

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 74, 18, 29, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 18, 29, 61 is 1.

Therefore, GCD of numbers 74, 18, 29, 61 is 1

Given Input Data is 74, 18, 29, 61

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 29 is 29

Prime Factorization of 61 is 61

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(74, 18) = 666

GCD(74, 18) = ( 74 x 18 ) / 666

GCD(74, 18) = 1332 / 666

GCD(74, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

GCD of 74, 18, 29, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 32, 10, 47
• GCD of 66, 93, 22, 34
• GCD of 29, 76, 14, 97
• GCD of 66, 23, 65, 15
• GCD of 94, 33, 82, 60

1. What is the GCD of 74, 18, 29, 61?

GCD of 74, 18, 29, 61 is 1

2. Where do I get the detailed procedure to find GCD of 74, 18, 29, 61?

You can find a detailed procedure to find GCD of 74, 18, 29, 61 on our page.

3. How to find GCD of 74, 18, 29, 61 on a calculator?

You can find the GCD of 74, 18, 29, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.