GCD of 88, 628, 308, 720 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 88, 628, 308, 720 i.e. 4 largest integer that divides all the numbers equally.

GCD of 88, 628, 308, 720 is 4

GCD(88, 628, 308, 720) = 4

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

GCD of

GCD of numbers 88, 628, 308, 720 is 4

GCD(88, 628, 308, 720) = 4

GCD of 88,628,308,720 Calculator

GCDof 88,628,308,720 is 4

Given Input numbers are 88, 628, 308, 720

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 88, 628, 308, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 628, 308, 720 is 4.

Therefore, GCD of numbers 88, 628, 308, 720 is 4

Finding GCD of 88, 628, 308, 720 using Prime Factorization

Given Input Data is 88, 628, 308, 720

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 88, 628, 308, 720 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(88, 628) = 13816

GCD(88, 628) = ( 88 x 628 ) / 13816

GCD(88, 628) = 55264 / 13816

GCD(88, 628) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 308

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

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

GCD(4, 308) = 1232 / 308

GCD(4, 308) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 720

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

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

GCD(4, 720) = 2880 / 720

GCD(4, 720) = 4

GCD of 88, 628, 308, 720 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 88, 628, 308, 720

1. What is the GCD of 88, 628, 308, 720?

GCD of 88, 628, 308, 720 is 4


2. Where do I get the detailed procedure to find GCD of 88, 628, 308, 720?

You can find a detailed procedure to find GCD of 88, 628, 308, 720 on our page.


3. How to find GCD of 88, 628, 308, 720 on a calculator?

You can find the GCD of 88, 628, 308, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.