GCD of 84, 24, 60, 67 Calculator

Given Input numbers are 84, 24, 60, 67

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

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 67

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

1, 67

Greatest Common Divisior

We found the divisors of 84, 24, 60, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 24, 60, 67 is 1.

Therefore, GCD of numbers 84, 24, 60, 67 is 1

Given Input Data is 84, 24, 60, 67

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

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 67 is 67

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(84, 24) = 168

GCD(84, 24) = ( 84 x 24 ) / 168

GCD(84, 24) = 2016 / 168

GCD(84, 24) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 60

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

LCM(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

GCD(12, 60) = 720 / 60

GCD(12, 60) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 67

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

LCM(12, 67) = 804

GCD(12, 67) = ( 12 x 67 ) / 804

GCD(12, 67) = 804 / 804

GCD(12, 67) = 1

GCD of 84, 24, 60, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 38, 80, 58
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• GCD of 58, 78, 96, 99
• GCD of 79, 96, 93, 75
• GCD of 99, 64, 55, 21

1. What is the GCD of 84, 24, 60, 67?

GCD of 84, 24, 60, 67 is 1

2. Where do I get the detailed procedure to find GCD of 84, 24, 60, 67?

You can find a detailed procedure to find GCD of 84, 24, 60, 67 on our page.

3. How to find GCD of 84, 24, 60, 67 on a calculator?

You can find the GCD of 84, 24, 60, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.