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GCD of 452, 220, 304, 520 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, 220, 304, 520 quickly. Get the easiest ways to solve the greatest common divisor of 452, 220, 304, 520 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 220, 304, 520 with Factoring?

Given Input numbers are 452, 220, 304, 520

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520


GCD of numbers is the greatest common divisor

So, the GCD (452, 220, 304, 520) = 4.

Find GCD of 452, 220, 304, 520 using Prime Factorization

Given numbers are 452, 220, 304, 520

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 22

Therefore, GCD of 452, 220, 304, 520 is 4.

Steps to Calculate GCD of 452, 220, 304, 520 using LCM Formula

Given numbers are 452, 220, 304, 520

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

Apply this formula for all numbers.

Step1:

LCM(452, 220) = 24860

GCD(452, 220) = ( 452 x 220 ) / 24860

= 452 / 220

= 452


Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4


Step3:

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

= 4 / 520

= 4


So, Greatest Common Divisor of 452, 220, 304, 520 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 220, 304, 520

Given numbers are 452, 220, 304, 520
The greatest common divisor of numbers 452, 220, 304, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 220, 304, 520 is 4.

FAQs on GCD of 452, 220, 304, 520 Calculator

1. What is the GCD of 452, 220, 304, 520?

GCD of given numbers 452, 220, 304, 520 is 4


2. How to calculate the greatest common divisor of 452, 220, 304, 520?

We can find the highest common divisor of 452, 220, 304, 520 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, 220, 304, 520 i.e 4.


3. How can I use the GCD of 452, 220, 304, 520Calculator?

Out the numbers 452, 220, 304, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.