GCD of 68, 28, 64, 74 Calculator

Given Input numbers are 68, 28, 64, 74

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 68, 28, 64, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 28, 64, 74 is 2.

Therefore, GCD of numbers 68, 28, 64, 74 is 2

Given Input Data is 68, 28, 64, 74

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 74 is 2 x 37

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(68, 28) = 476

GCD(68, 28) = ( 68 x 28 ) / 476

GCD(68, 28) = 1904 / 476

GCD(68, 28) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

GCD of 68, 28, 64, 74 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 60, 90, 84
• GCD of 94, 42, 60, 60
• GCD of 97, 10, 51, 79
• GCD of 89, 25, 16, 83
• GCD of 16, 50, 93, 11

1. What is the GCD of 68, 28, 64, 74?

GCD of 68, 28, 64, 74 is 2

2. Where do I get the detailed procedure to find GCD of 68, 28, 64, 74?

You can find a detailed procedure to find GCD of 68, 28, 64, 74 on our page.

3. How to find GCD of 68, 28, 64, 74 on a calculator?

You can find the GCD of 68, 28, 64, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.