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GCD of 404, 470, 120, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 404, 470, 120, 920 quickly. Get the easiest ways to solve the greatest common divisor of 404, 470, 120, 920 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 404, 470, 120, 920 with Factoring?

Given Input numbers are 404, 470, 120, 920

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (404, 470, 120, 920) = 2.

Find GCD of 404, 470, 120, 920 using Prime Factorization

Given numbers are 404, 470, 120, 920

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 470 are 2 x 5 x 47

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 404, 470, 120, 920 is 2.

Steps to Calculate GCD of 404, 470, 120, 920 using LCM Formula

Given numbers are 404, 470, 120, 920

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

Apply this formula for all numbers.

Step1:

LCM(404, 470) = 94940

GCD(404, 470) = ( 404 x 470 ) / 94940

= 404 / 470

= 404


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2


So, Greatest Common Divisor of 404, 470, 120, 920 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 404, 470, 120, 920

Given numbers are 404, 470, 120, 920
The greatest common divisor of numbers 404, 470, 120, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 470, 120, 920 is 2.

FAQs on GCD of 404, 470, 120, 920 Calculator

1. What is the GCD of 404, 470, 120, 920?

GCD of given numbers 404, 470, 120, 920 is 2


2. How to calculate the greatest common divisor of 404, 470, 120, 920?

We can find the highest common divisor of 404, 470, 120, 920 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 404, 470, 120, 920 i.e 2.


3. How can I use the GCD of 404, 470, 120, 920Calculator?

Out the numbers 404, 470, 120, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.