Where do I get the detailed procedure to find GCD of 404, 316, 980?

You can find a detailed procedure to find GCD of 404, 316, 980 on our page.

How to find GCD of 404, 316, 980 on a calculator?

You can find the GCD of 404, 316, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 404, 316, 980 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, 316, 980 quickly. Get the easiest ways to solve the greatest common divisor of 404, 316, 980 i.e 4 in different methods as follows.

How to Find GCD of Numbers 404, 316, 980 with Factoring?

Given Input numbers are 404, 316, 980

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (404, 316, 980) = 4.

Find GCD of 404, 316, 980 using Prime Factorization

Given numbers are 404, 316, 980

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 316 are 2 x 2 x 79

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 404, 316, 980 is 4.

Steps to Calculate GCD of 404, 316, 980 using LCM Formula

Given numbers are 404, 316, 980

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

Apply this formula for all numbers.

Step1:

LCM(404, 316) = 31916

GCD(404, 316) = ( 404 x 316 ) / 31916

= 404 / 316

= 404

Step2:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

So, Greatest Common Divisor of 404, 316, 980 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 404, 316, 980

Given numbers are 404, 316, 980
The greatest common divisor of numbers 404, 316, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 316, 980 is 4.

FAQs on GCD of 404, 316, 980 Calculator

1. What is the GCD of 404, 316, 980?

GCD of given numbers 404, 316, 980 is 4

2. How to calculate the greatest common divisor of 404, 316, 980?

We can find the highest common divisor of 404, 316, 980 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, 316, 980 i.e 4.

3. How can I use the GCD of 404, 316, 980Calculator?

Out the numbers 404, 316, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.