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GCD of 801, 338, 172, 849 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 338, 172, 849 quickly. Get the easiest ways to solve the greatest common divisor of 801, 338, 172, 849 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 338, 172, 849 with Factoring?

Given Input numbers are 801, 338, 172, 849

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849


GCD of numbers is the greatest common divisor

So, the GCD (801, 338, 172, 849) = 1.

Find GCD of 801, 338, 172, 849 using Prime Factorization

Given numbers are 801, 338, 172, 849

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 338 are 2 x 13 x 13

Prime factors of 172 are 2 x 2 x 43

Prime factors of 849 are 3 x 283

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

Steps to Calculate GCD of 801, 338, 172, 849 using LCM Formula

Given numbers are 801, 338, 172, 849

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

Apply this formula for all numbers.

Step1:

LCM(801, 338) = 270738

GCD(801, 338) = ( 801 x 338 ) / 270738

= 801 / 338

= 801


Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1


Step3:

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

= 1 / 849

= 1


So, Greatest Common Divisor of 801, 338, 172, 849 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 338, 172, 849

Given numbers are 801, 338, 172, 849
The greatest common divisor of numbers 801, 338, 172, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 338, 172, 849 is 1.

FAQs on GCD of 801, 338, 172, 849 Calculator

1. What is the GCD of 801, 338, 172, 849?

GCD of given numbers 801, 338, 172, 849 is 1


2. How to calculate the greatest common divisor of 801, 338, 172, 849?

We can find the highest common divisor of 801, 338, 172, 849 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 801, 338, 172, 849 i.e 1.


3. How can I use the GCD of 801, 338, 172, 849Calculator?

Out the numbers 801, 338, 172, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.