GCD of 10, 60, 84, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 10, 60, 84, 74 i.e. 2 largest integer that divides all the numbers equally.

GCD of 10, 60, 84, 74 is 2

GCD(10, 60, 84, 74) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 10, 60, 84, 74 is 2

GCD(10, 60, 84, 74) = 2

GCD of 10,60,84,74 Calculator

GCDof 10,60,84,74 is 2

Given Input numbers are 10, 60, 84, 74

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 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 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 10, 60, 84, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 60, 84, 74 is 2.

Therefore, GCD of numbers 10, 60, 84, 74 is 2

Finding GCD of 10, 60, 84, 74 using Prime Factorization

Given Input Data is 10, 60, 84, 74

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

Prime Factorization of 10 is 2 x 5

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

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

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

Finding GCD of 10, 60, 84, 74 using LCM Formula

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(10, 60) = 60

GCD(10, 60) = ( 10 x 60 ) / 60

GCD(10, 60) = 600 / 60

GCD(10, 60) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 84

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

LCM(10, 84) = 420

GCD(10, 84) = ( 10 x 84 ) / 420

GCD(10, 84) = 840 / 420

GCD(10, 84) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

GCD of 10, 60, 84, 74 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 10, 60, 84, 74

1. What is the GCD of 10, 60, 84, 74?

GCD of 10, 60, 84, 74 is 2


2. Where do I get the detailed procedure to find GCD of 10, 60, 84, 74?

You can find a detailed procedure to find GCD of 10, 60, 84, 74 on our page.


3. How to find GCD of 10, 60, 84, 74 on a calculator?

You can find the GCD of 10, 60, 84, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.