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GCD of 364, 640, 808, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 640, 808, 220 quickly. Get the easiest ways to solve the greatest common divisor of 364, 640, 808, 220 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 640, 808, 220 with Factoring?

Given Input numbers are 364, 640, 808, 220

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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


GCD of numbers is the greatest common divisor

So, the GCD (364, 640, 808, 220) = 4.

Find GCD of 364, 640, 808, 220 using Prime Factorization

Given numbers are 364, 640, 808, 220

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 808 are 2 x 2 x 2 x 101

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

The highest common occurrence is 22

Therefore, GCD of 364, 640, 808, 220 is 4.

Steps to Calculate GCD of 364, 640, 808, 220 using LCM Formula

Given numbers are 364, 640, 808, 220

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

Apply this formula for all numbers.

Step1:

LCM(364, 640) = 58240

GCD(364, 640) = ( 364 x 640 ) / 58240

= 364 / 640

= 364


Step2:

LCM(4, 808) = 808

GCD(4, 808) = ( 4 x 808 ) / 808

= 4 / 808

= 4


Step3:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4


So, Greatest Common Divisor of 364, 640, 808, 220 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 640, 808, 220

Given numbers are 364, 640, 808, 220
The greatest common divisor of numbers 364, 640, 808, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 640, 808, 220 is 4.

FAQs on GCD of 364, 640, 808, 220 Calculator

1. What is the GCD of 364, 640, 808, 220?

GCD of given numbers 364, 640, 808, 220 is 4


2. How to calculate the greatest common divisor of 364, 640, 808, 220?

We can find the highest common divisor of 364, 640, 808, 220 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 364, 640, 808, 220 i.e 4.


3. How can I use the GCD of 364, 640, 808, 220Calculator?

Out the numbers 364, 640, 808, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.