GCD of 360, 762, 10 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 360, 762, 10 i.e. 2 largest integer that divides all the numbers equally.

GCD of 360, 762, 10 is 2

GCD(360, 762, 10) = 2

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

GCD of

GCD of numbers 360, 762, 10 is 2

GCD(360, 762, 10) = 2

GCD of 360,762,10 Calculator

GCDof 360,762,10 is 2

Given Input numbers are 360, 762, 10

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 360, 762, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 762, 10 is 2.

Therefore, GCD of numbers 360, 762, 10 is 2

Finding GCD of 360, 762, 10 using Prime Factorization

Given Input Data is 360, 762, 10

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 10 is 2 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 360, 762, 10 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(360, 762) = 45720

GCD(360, 762) = ( 360 x 762 ) / 45720

GCD(360, 762) = 274320 / 45720

GCD(360, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

GCD of 360, 762, 10 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 360, 762, 10

1. What is the GCD of 360, 762, 10?

GCD of 360, 762, 10 is 2

2. Where do I get the detailed procedure to find GCD of 360, 762, 10?

You can find a detailed procedure to find GCD of 360, 762, 10 on our page.

3. How to find GCD of 360, 762, 10 on a calculator?

You can find the GCD of 360, 762, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.