GCD of 66, 74, 58 Calculator

Given Input numbers are 66, 74, 58

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 74

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

1, 2, 37, 74

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 66, 74, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 74, 58 is 2.

Therefore, GCD of numbers 66, 74, 58 is 2

Given Input Data is 66, 74, 58

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 58 is 2 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(66, 74) = 2442

GCD(66, 74) = ( 66 x 74 ) / 2442

GCD(66, 74) = 4884 / 2442

GCD(66, 74) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

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

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

GCD of 66, 74, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 12, 54
• GCD of 78, 18, 21
• GCD of 34, 86, 97
• GCD of 53, 70, 85
• GCD of 84, 93, 90

1. What is the GCD of 66, 74, 58?

GCD of 66, 74, 58 is 2

2. Where do I get the detailed procedure to find GCD of 66, 74, 58?

You can find a detailed procedure to find GCD of 66, 74, 58 on our page.

3. How to find GCD of 66, 74, 58 on a calculator?

You can find the GCD of 66, 74, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.