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GCD of 452, 878, 164, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 452, 878, 164, 720 quickly. Get the easiest ways to solve the greatest common divisor of 452, 878, 164, 720 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 878, 164, 720 with Factoring?

Given Input numbers are 452, 878, 164, 720

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

Divisors of 452 :

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

1, 2, 4, 113, 226, 452

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (452, 878, 164, 720) = 2.

Find GCD of 452, 878, 164, 720 using Prime Factorization

Given numbers are 452, 878, 164, 720

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 878 are 2 x 439

Prime factors of 164 are 2 x 2 x 41

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 452, 878, 164, 720 is 2.

Steps to Calculate GCD of 452, 878, 164, 720 using LCM Formula

Given numbers are 452, 878, 164, 720

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

Apply this formula for all numbers.

Step1:

LCM(452, 878) = 198428

GCD(452, 878) = ( 452 x 878 ) / 198428

= 452 / 878

= 452


Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2


Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2


So, Greatest Common Divisor of 452, 878, 164, 720 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 878, 164, 720

Given numbers are 452, 878, 164, 720
The greatest common divisor of numbers 452, 878, 164, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 878, 164, 720 is 2.

FAQs on GCD of 452, 878, 164, 720 Calculator

1. What is the GCD of 452, 878, 164, 720?

GCD of given numbers 452, 878, 164, 720 is 2


2. How to calculate the greatest common divisor of 452, 878, 164, 720?

We can find the highest common divisor of 452, 878, 164, 720 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 452, 878, 164, 720 i.e 2.


3. How can I use the GCD of 452, 878, 164, 720Calculator?

Out the numbers 452, 878, 164, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.