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GCD of 660, 558, 404, 821 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 558, 404, 821 quickly. Get the easiest ways to solve the greatest common divisor of 660, 558, 404, 821 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 558, 404, 821 with Factoring?

Given Input numbers are 660, 558, 404, 821

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821


GCD of numbers is the greatest common divisor

So, the GCD (660, 558, 404, 821) = 1.

Find GCD of 660, 558, 404, 821 using Prime Factorization

Given numbers are 660, 558, 404, 821

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 404 are 2 x 2 x 101

Prime factors of 821 are 821

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 660, 558, 404, 821 using LCM Formula

Given numbers are 660, 558, 404, 821

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

Apply this formula for all numbers.

Step1:

LCM(660, 558) = 61380

GCD(660, 558) = ( 660 x 558 ) / 61380

= 660 / 558

= 660


Step2:

LCM(6, 404) = 1212

GCD(6, 404) = ( 6 x 404 ) / 1212

= 6 / 404

= 6


Step3:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2


So, Greatest Common Divisor of 660, 558, 404, 821 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 558, 404, 821

Given numbers are 660, 558, 404, 821
The greatest common divisor of numbers 660, 558, 404, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 558, 404, 821 is 1.

FAQs on GCD of 660, 558, 404, 821 Calculator

1. What is the GCD of 660, 558, 404, 821?

GCD of given numbers 660, 558, 404, 821 is 1


2. How to calculate the greatest common divisor of 660, 558, 404, 821?

We can find the highest common divisor of 660, 558, 404, 821 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 660, 558, 404, 821 i.e 1.


3. How can I use the GCD of 660, 558, 404, 821Calculator?

Out the numbers 660, 558, 404, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.