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GCD of 820, 728, 369, 127 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, 728, 369, 127 quickly. Get the easiest ways to solve the greatest common divisor of 820, 728, 369, 127 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 728, 369, 127 with Factoring?

Given Input numbers are 820, 728, 369, 127

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 127 :

The positive integer divisors of 127 that completely divides 127 are.

1, 127


GCD of numbers is the greatest common divisor

So, the GCD (820, 728, 369, 127) = 1.

Find GCD of 820, 728, 369, 127 using Prime Factorization

Given numbers are 820, 728, 369, 127

The list of prime factors of all numbers are

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 369 are 3 x 3 x 41

Prime factors of 127 are 127

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

Steps to Calculate GCD of 820, 728, 369, 127 using LCM Formula

Given numbers are 820, 728, 369, 127

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

Apply this formula for all numbers.

Step1:

LCM(820, 728) = 149240

GCD(820, 728) = ( 820 x 728 ) / 149240

= 820 / 728

= 820


Step2:

LCM(4, 369) = 1476

GCD(4, 369) = ( 4 x 369 ) / 1476

= 4 / 369

= 4


Step3:

LCM(1, 127) = 127

GCD(1, 127) = ( 1 x 127 ) / 127

= 1 / 127

= 1


So, Greatest Common Divisor of 820, 728, 369, 127 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 728, 369, 127

Given numbers are 820, 728, 369, 127
The greatest common divisor of numbers 820, 728, 369, 127 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 728, 369, 127 is 1.

FAQs on GCD of 820, 728, 369, 127 Calculator

1. What is the GCD of 820, 728, 369, 127?

GCD of given numbers 820, 728, 369, 127 is 1


2. How to calculate the greatest common divisor of 820, 728, 369, 127?

We can find the highest common divisor of 820, 728, 369, 127 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, 728, 369, 127 i.e 1.


3. How can I use the GCD of 820, 728, 369, 127Calculator?

Out the numbers 820, 728, 369, 127 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.