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GCD of 104, 728, 840 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 728, 840 quickly. Get the easiest ways to solve the greatest common divisor of 104, 728, 840 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 728, 840 with Factoring?

Given Input numbers are 104, 728, 840

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840


GCD of numbers is the greatest common divisor

So, the GCD (104, 728, 840) = 8.

Find GCD of 104, 728, 840 using Prime Factorization

Given numbers are 104, 728, 840

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 23

Therefore, GCD of 104, 728, 840 is 8.

Steps to Calculate GCD of 104, 728, 840 using LCM Formula

Given numbers are 104, 728, 840

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

Apply this formula for all numbers.

Step1:

LCM(104, 728) = 728

GCD(104, 728) = ( 104 x 728 ) / 728

= 104 / 728

= 104


Step2:

LCM(104, 840) = 10920

GCD(104, 840) = ( 104 x 840 ) / 10920

= 104 / 840

= 104


So, Greatest Common Divisor of 104, 728, 840 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 728, 840

Given numbers are 104, 728, 840
The greatest common divisor of numbers 104, 728, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 728, 840 is 8.

FAQs on GCD of 104, 728, 840 Calculator

1. What is the GCD of 104, 728, 840?

GCD of given numbers 104, 728, 840 is 8


2. How to calculate the greatest common divisor of 104, 728, 840?

We can find the highest common divisor of 104, 728, 840 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 104, 728, 840 i.e 8.


3. How can I use the GCD of 104, 728, 840Calculator?

Out the numbers 104, 728, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.