GCD of 42, 61, 17, 74 Calculator

Given Input numbers are 42, 61, 17, 74

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 61

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

1, 61

Divisors of 17

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

1, 17

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 42, 61, 17, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 61, 17, 74 is 1.

Therefore, GCD of numbers 42, 61, 17, 74 is 1

Given Input Data is 42, 61, 17, 74

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 61 is 61

Prime Factorization of 17 is 17

Prime Factorization of 74 is 2 x 37

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(42, 61) = 2562

GCD(42, 61) = ( 42 x 61 ) / 2562

GCD(42, 61) = 2562 / 2562

GCD(42, 61) = 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 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 42, 61, 17, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 38, 36, 35
• GCD of 61, 91, 76, 25
• GCD of 47, 33, 34, 30
• GCD of 77, 98, 79, 97
• GCD of 91, 96, 46, 98

1. What is the GCD of 42, 61, 17, 74?

GCD of 42, 61, 17, 74 is 1

2. Where do I get the detailed procedure to find GCD of 42, 61, 17, 74?

You can find a detailed procedure to find GCD of 42, 61, 17, 74 on our page.

3. How to find GCD of 42, 61, 17, 74 on a calculator?

You can find the GCD of 42, 61, 17, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.