GCD of 962, 540, 60, 152 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 962, 540, 60, 152 i.e. 2 largest integer that divides all the numbers equally.

GCD of 962, 540, 60, 152 is 2

GCD(962, 540, 60, 152) = 2

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

GCD of

GCD of numbers 962, 540, 60, 152 is 2

GCD(962, 540, 60, 152) = 2

GCD of 962,540,60,152 Calculator

GCDof 962,540,60,152 is 2

Given Input numbers are 962, 540, 60, 152

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 962, 540, 60, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 540, 60, 152 is 2.

Therefore, GCD of numbers 962, 540, 60, 152 is 2

Finding GCD of 962, 540, 60, 152 using Prime Factorization

Given Input Data is 962, 540, 60, 152

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 962, 540, 60, 152 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(962, 540) = 259740

GCD(962, 540) = ( 962 x 540 ) / 259740

GCD(962, 540) = 519480 / 259740

GCD(962, 540) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

GCD of 962, 540, 60, 152 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 962, 540, 60, 152

1. What is the GCD of 962, 540, 60, 152?

GCD of 962, 540, 60, 152 is 2


2. Where do I get the detailed procedure to find GCD of 962, 540, 60, 152?

You can find a detailed procedure to find GCD of 962, 540, 60, 152 on our page.


3. How to find GCD of 962, 540, 60, 152 on a calculator?

You can find the GCD of 962, 540, 60, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.