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GCD of 980, 732, 404, 392 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 732, 404, 392 quickly. Get the easiest ways to solve the greatest common divisor of 980, 732, 404, 392 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 732, 404, 392 with Factoring?

Given Input numbers are 980, 732, 404, 392

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

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392


GCD of numbers is the greatest common divisor

So, the GCD (980, 732, 404, 392) = 4.

Find GCD of 980, 732, 404, 392 using Prime Factorization

Given numbers are 980, 732, 404, 392

The list of prime factors of all numbers are

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 404 are 2 x 2 x 101

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 22

Therefore, GCD of 980, 732, 404, 392 is 4.

Steps to Calculate GCD of 980, 732, 404, 392 using LCM Formula

Given numbers are 980, 732, 404, 392

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

Apply this formula for all numbers.

Step1:

LCM(980, 732) = 179340

GCD(980, 732) = ( 980 x 732 ) / 179340

= 980 / 732

= 980


Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4


Step3:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4


So, Greatest Common Divisor of 980, 732, 404, 392 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 732, 404, 392

Given numbers are 980, 732, 404, 392
The greatest common divisor of numbers 980, 732, 404, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 732, 404, 392 is 4.

FAQs on GCD of 980, 732, 404, 392 Calculator

1. What is the GCD of 980, 732, 404, 392?

GCD of given numbers 980, 732, 404, 392 is 4


2. How to calculate the greatest common divisor of 980, 732, 404, 392?

We can find the highest common divisor of 980, 732, 404, 392 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 980, 732, 404, 392 i.e 4.


3. How can I use the GCD of 980, 732, 404, 392Calculator?

Out the numbers 980, 732, 404, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.