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GCD of 228, 771, 21, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 771, 21, 820 quickly. Get the easiest ways to solve the greatest common divisor of 228, 771, 21, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 771, 21, 820 with Factoring?

Given Input numbers are 228, 771, 21, 820

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (228, 771, 21, 820) = 1.

Find GCD of 228, 771, 21, 820 using Prime Factorization

Given numbers are 228, 771, 21, 820

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 771 are 3 x 257

Prime factors of 21 are 3 x 7

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 228, 771, 21, 820 using LCM Formula

Given numbers are 228, 771, 21, 820

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

Apply this formula for all numbers.

Step1:

LCM(228, 771) = 58596

GCD(228, 771) = ( 228 x 771 ) / 58596

= 228 / 771

= 228


Step2:

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

= 3 / 21

= 3


Step3:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3


So, Greatest Common Divisor of 228, 771, 21, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 771, 21, 820

Given numbers are 228, 771, 21, 820
The greatest common divisor of numbers 228, 771, 21, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 771, 21, 820 is 1.

FAQs on GCD of 228, 771, 21, 820 Calculator

1. What is the GCD of 228, 771, 21, 820?

GCD of given numbers 228, 771, 21, 820 is 1


2. How to calculate the greatest common divisor of 228, 771, 21, 820?

We can find the highest common divisor of 228, 771, 21, 820 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 228, 771, 21, 820 i.e 1.


3. How can I use the GCD of 228, 771, 21, 820Calculator?

Out the numbers 228, 771, 21, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.