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GCD of 824, 184, 418, 160 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 184, 418, 160 quickly. Get the easiest ways to solve the greatest common divisor of 824, 184, 418, 160 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 184, 418, 160 with Factoring?

Given Input numbers are 824, 184, 418, 160

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160


GCD of numbers is the greatest common divisor

So, the GCD (824, 184, 418, 160) = 2.

Find GCD of 824, 184, 418, 160 using Prime Factorization

Given numbers are 824, 184, 418, 160

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 418 are 2 x 11 x 19

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 21

Therefore, GCD of 824, 184, 418, 160 is 2.

Steps to Calculate GCD of 824, 184, 418, 160 using LCM Formula

Given numbers are 824, 184, 418, 160

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

Apply this formula for all numbers.

Step1:

LCM(824, 184) = 18952

GCD(824, 184) = ( 824 x 184 ) / 18952

= 824 / 184

= 824


Step2:

LCM(8, 418) = 1672

GCD(8, 418) = ( 8 x 418 ) / 1672

= 8 / 418

= 8


Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2


So, Greatest Common Divisor of 824, 184, 418, 160 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 184, 418, 160

Given numbers are 824, 184, 418, 160
The greatest common divisor of numbers 824, 184, 418, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 184, 418, 160 is 2.

FAQs on GCD of 824, 184, 418, 160 Calculator

1. What is the GCD of 824, 184, 418, 160?

GCD of given numbers 824, 184, 418, 160 is 2


2. How to calculate the greatest common divisor of 824, 184, 418, 160?

We can find the highest common divisor of 824, 184, 418, 160 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 824, 184, 418, 160 i.e 2.


3. How can I use the GCD of 824, 184, 418, 160Calculator?

Out the numbers 824, 184, 418, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.