GCD of 67, 28, 15, 74 Calculator

Given Input numbers are 67, 28, 15, 74

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 67, 28, 15, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 28, 15, 74 is 1.

Therefore, GCD of numbers 67, 28, 15, 74 is 1

Given Input Data is 67, 28, 15, 74

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

Prime Factorization of 67 is 67

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 15 is 3 x 5

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(67, 28) = 1876

GCD(67, 28) = ( 67 x 28 ) / 1876

GCD(67, 28) = 1876 / 1876

GCD(67, 28) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 67, 28, 15, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 99, 70, 85
• GCD of 50, 25, 47, 31
• GCD of 74, 12, 33, 70
• GCD of 10, 19, 47, 10
• GCD of 37, 88, 83, 23

1. What is the GCD of 67, 28, 15, 74?

GCD of 67, 28, 15, 74 is 1

2. Where do I get the detailed procedure to find GCD of 67, 28, 15, 74?

You can find a detailed procedure to find GCD of 67, 28, 15, 74 on our page.

3. How to find GCD of 67, 28, 15, 74 on a calculator?

You can find the GCD of 67, 28, 15, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.