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GCD of 880, 728, 864, 452 Calculator

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


Online GCD Calculator is useful to find the GCD of 880, 728, 864, 452 quickly. Get the easiest ways to solve the greatest common divisor of 880, 728, 864, 452 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 880, 728, 864, 452 with Factoring?

Given Input numbers are 880, 728, 864, 452

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452


GCD of numbers is the greatest common divisor

So, the GCD (880, 728, 864, 452) = 4.

Find GCD of 880, 728, 864, 452 using Prime Factorization

Given numbers are 880, 728, 864, 452

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 22

Therefore, GCD of 880, 728, 864, 452 is 4.

Steps to Calculate GCD of 880, 728, 864, 452 using LCM Formula

Given numbers are 880, 728, 864, 452

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

Apply this formula for all numbers.

Step1:

LCM(880, 728) = 80080

GCD(880, 728) = ( 880 x 728 ) / 80080

= 880 / 728

= 880


Step2:

LCM(8, 864) = 864

GCD(8, 864) = ( 8 x 864 ) / 864

= 8 / 864

= 8


Step3:

LCM(8, 452) = 904

GCD(8, 452) = ( 8 x 452 ) / 904

= 8 / 452

= 8


So, Greatest Common Divisor of 880, 728, 864, 452 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 880, 728, 864, 452

Given numbers are 880, 728, 864, 452
The greatest common divisor of numbers 880, 728, 864, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 728, 864, 452 is 4.

FAQs on GCD of 880, 728, 864, 452 Calculator

1. What is the GCD of 880, 728, 864, 452?

GCD of given numbers 880, 728, 864, 452 is 4


2. How to calculate the greatest common divisor of 880, 728, 864, 452?

We can find the highest common divisor of 880, 728, 864, 452 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 880, 728, 864, 452 i.e 4.


3. How can I use the GCD of 880, 728, 864, 452Calculator?

Out the numbers 880, 728, 864, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.