GCD of 76, 84, 58, 42 Calculator

Given Input numbers are 76, 84, 58, 42

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 58

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

1, 2, 29, 58

Divisors of 42

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

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

Greatest Common Divisior

We found the divisors of 76, 84, 58, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 84, 58, 42 is 2.

Therefore, GCD of numbers 76, 84, 58, 42 is 2

Given Input Data is 76, 84, 58, 42

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 42 is 2 x 3 x 7

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(76, 84) = 1596

GCD(76, 84) = ( 76 x 84 ) / 1596

GCD(76, 84) = 6384 / 1596

GCD(76, 84) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

GCD of 76, 84, 58, 42 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 93, 67, 13
• GCD of 61, 42, 24, 99
• GCD of 37, 60, 86, 46
• GCD of 37, 51, 56, 54
• GCD of 32, 80, 24, 46

1. What is the GCD of 76, 84, 58, 42?

GCD of 76, 84, 58, 42 is 2

2. Where do I get the detailed procedure to find GCD of 76, 84, 58, 42?

You can find a detailed procedure to find GCD of 76, 84, 58, 42 on our page.

3. How to find GCD of 76, 84, 58, 42 on a calculator?

You can find the GCD of 76, 84, 58, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.