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GCD of 452, 936, 500, 800 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, 936, 500, 800 quickly. Get the easiest ways to solve the greatest common divisor of 452, 936, 500, 800 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 936, 500, 800 with Factoring?

Given Input numbers are 452, 936, 500, 800

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800


GCD of numbers is the greatest common divisor

So, the GCD (452, 936, 500, 800) = 4.

Find GCD of 452, 936, 500, 800 using Prime Factorization

Given numbers are 452, 936, 500, 800

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 22

Therefore, GCD of 452, 936, 500, 800 is 4.

Steps to Calculate GCD of 452, 936, 500, 800 using LCM Formula

Given numbers are 452, 936, 500, 800

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

Apply this formula for all numbers.

Step1:

LCM(452, 936) = 105768

GCD(452, 936) = ( 452 x 936 ) / 105768

= 452 / 936

= 452


Step2:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4


Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4


So, Greatest Common Divisor of 452, 936, 500, 800 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 936, 500, 800

Given numbers are 452, 936, 500, 800
The greatest common divisor of numbers 452, 936, 500, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 936, 500, 800 is 4.

FAQs on GCD of 452, 936, 500, 800 Calculator

1. What is the GCD of 452, 936, 500, 800?

GCD of given numbers 452, 936, 500, 800 is 4


2. How to calculate the greatest common divisor of 452, 936, 500, 800?

We can find the highest common divisor of 452, 936, 500, 800 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, 936, 500, 800 i.e 4.


3. How can I use the GCD of 452, 936, 500, 800Calculator?

Out the numbers 452, 936, 500, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.