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GCD of 491, 844, 180, 338 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 844, 180, 338 quickly. Get the easiest ways to solve the greatest common divisor of 491, 844, 180, 338 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 844, 180, 338 with Factoring?

Given Input numbers are 491, 844, 180, 338

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 338 :

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

1, 2, 13, 26, 169, 338


GCD of numbers is the greatest common divisor

So, the GCD (491, 844, 180, 338) = 1.

Find GCD of 491, 844, 180, 338 using Prime Factorization

Given numbers are 491, 844, 180, 338

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 844 are 2 x 2 x 211

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 338 are 2 x 13 x 13

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

Steps to Calculate GCD of 491, 844, 180, 338 using LCM Formula

Given numbers are 491, 844, 180, 338

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

Apply this formula for all numbers.

Step1:

LCM(491, 844) = 414404

GCD(491, 844) = ( 491 x 844 ) / 414404

= 491 / 844

= 491


Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


So, Greatest Common Divisor of 491, 844, 180, 338 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 844, 180, 338

Given numbers are 491, 844, 180, 338
The greatest common divisor of numbers 491, 844, 180, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 844, 180, 338 is 1.

FAQs on GCD of 491, 844, 180, 338 Calculator

1. What is the GCD of 491, 844, 180, 338?

GCD of given numbers 491, 844, 180, 338 is 1


2. How to calculate the greatest common divisor of 491, 844, 180, 338?

We can find the highest common divisor of 491, 844, 180, 338 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 491, 844, 180, 338 i.e 1.


3. How can I use the GCD of 491, 844, 180, 338Calculator?

Out the numbers 491, 844, 180, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.