GCD of 588, 740, 762 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 588, 740, 762 i.e. 2 largest integer that divides all the numbers equally.

GCD of 588, 740, 762 is 2

GCD(588, 740, 762) = 2

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

GCD of

GCD of numbers 588, 740, 762 is 2

GCD(588, 740, 762) = 2

GCD of 588,740,762 Calculator

GCDof 588,740,762 is 2

Given Input numbers are 588, 740, 762

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 762

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

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

Greatest Common Divisior

We found the divisors of 588, 740, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 740, 762 is 2.

Therefore, GCD of numbers 588, 740, 762 is 2

Finding GCD of 588, 740, 762 using Prime Factorization

Given Input Data is 588, 740, 762

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 762 is 2 x 3 x 127

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 588, 740, 762 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(588, 740) = 108780

GCD(588, 740) = ( 588 x 740 ) / 108780

GCD(588, 740) = 435120 / 108780

GCD(588, 740) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 762

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

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

GCD(4, 762) = 3048 / 1524

GCD(4, 762) = 2

GCD of 588, 740, 762 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 588, 740, 762

1. What is the GCD of 588, 740, 762?

GCD of 588, 740, 762 is 2


2. Where do I get the detailed procedure to find GCD of 588, 740, 762?

You can find a detailed procedure to find GCD of 588, 740, 762 on our page.


3. How to find GCD of 588, 740, 762 on a calculator?

You can find the GCD of 588, 740, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.