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GCD of 820, 226, 109, 606 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 226, 109, 606 quickly. Get the easiest ways to solve the greatest common divisor of 820, 226, 109, 606 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 226, 109, 606 with Factoring?

Given Input numbers are 820, 226, 109, 606

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

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606


GCD of numbers is the greatest common divisor

So, the GCD (820, 226, 109, 606) = 1.

Find GCD of 820, 226, 109, 606 using Prime Factorization

Given numbers are 820, 226, 109, 606

The list of prime factors of all numbers are

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

Prime factors of 226 are 2 x 113

Prime factors of 109 are 109

Prime factors of 606 are 2 x 3 x 101

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

Steps to Calculate GCD of 820, 226, 109, 606 using LCM Formula

Given numbers are 820, 226, 109, 606

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

Apply this formula for all numbers.

Step1:

LCM(820, 226) = 92660

GCD(820, 226) = ( 820 x 226 ) / 92660

= 820 / 226

= 820


Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2


Step3:

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

= 1 / 606

= 1


So, Greatest Common Divisor of 820, 226, 109, 606 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 226, 109, 606

Given numbers are 820, 226, 109, 606
The greatest common divisor of numbers 820, 226, 109, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 226, 109, 606 is 1.

FAQs on GCD of 820, 226, 109, 606 Calculator

1. What is the GCD of 820, 226, 109, 606?

GCD of given numbers 820, 226, 109, 606 is 1


2. How to calculate the greatest common divisor of 820, 226, 109, 606?

We can find the highest common divisor of 820, 226, 109, 606 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 820, 226, 109, 606 i.e 1.


3. How can I use the GCD of 820, 226, 109, 606Calculator?

Out the numbers 820, 226, 109, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.