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GCD of 728, 236, 818, 140 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 728, 236, 818, 140 quickly. Get the easiest ways to solve the greatest common divisor of 728, 236, 818, 140 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 728, 236, 818, 140 with Factoring?

Given Input numbers are 728, 236, 818, 140

In the factoring method, we have to find the divisors of all numbers

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (728, 236, 818, 140) = 2.

Find GCD of 728, 236, 818, 140 using Prime Factorization

Given numbers are 728, 236, 818, 140

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 236 are 2 x 2 x 59

Prime factors of 818 are 2 x 409

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 728, 236, 818, 140 is 2.

Steps to Calculate GCD of 728, 236, 818, 140 using LCM Formula

Given numbers are 728, 236, 818, 140

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(728, 236) = 42952

GCD(728, 236) = ( 728 x 236 ) / 42952

= 728 / 236

= 728


Step2:

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

= 4 / 818

= 4


Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2


So, Greatest Common Divisor of 728, 236, 818, 140 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 728, 236, 818, 140

Given numbers are 728, 236, 818, 140
The greatest common divisor of numbers 728, 236, 818, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 236, 818, 140 is 2.

FAQs on GCD of 728, 236, 818, 140 Calculator

1. What is the GCD of 728, 236, 818, 140?

GCD of given numbers 728, 236, 818, 140 is 2


2. How to calculate the greatest common divisor of 728, 236, 818, 140?

We can find the highest common divisor of 728, 236, 818, 140 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 728, 236, 818, 140 i.e 2.


3. How can I use the GCD of 728, 236, 818, 140Calculator?

Out the numbers 728, 236, 818, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.