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GCD of 800, 391, 122, 273 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 391, 122, 273 quickly. Get the easiest ways to solve the greatest common divisor of 800, 391, 122, 273 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 391, 122, 273 with Factoring?

Given Input numbers are 800, 391, 122, 273

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273


GCD of numbers is the greatest common divisor

So, the GCD (800, 391, 122, 273) = 1.

Find GCD of 800, 391, 122, 273 using Prime Factorization

Given numbers are 800, 391, 122, 273

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 391 are 17 x 23

Prime factors of 122 are 2 x 61

Prime factors of 273 are 3 x 7 x 13

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

Steps to Calculate GCD of 800, 391, 122, 273 using LCM Formula

Given numbers are 800, 391, 122, 273

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

Apply this formula for all numbers.

Step1:

LCM(800, 391) = 312800

GCD(800, 391) = ( 800 x 391 ) / 312800

= 800 / 391

= 800


Step2:

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

= 1 / 122

= 1


Step3:

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

= 1 / 273

= 1


So, Greatest Common Divisor of 800, 391, 122, 273 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 391, 122, 273

Given numbers are 800, 391, 122, 273
The greatest common divisor of numbers 800, 391, 122, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 391, 122, 273 is 1.

FAQs on GCD of 800, 391, 122, 273 Calculator

1. What is the GCD of 800, 391, 122, 273?

GCD of given numbers 800, 391, 122, 273 is 1


2. How to calculate the greatest common divisor of 800, 391, 122, 273?

We can find the highest common divisor of 800, 391, 122, 273 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 800, 391, 122, 273 i.e 1.


3. How can I use the GCD of 800, 391, 122, 273Calculator?

Out the numbers 800, 391, 122, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.