LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 854, 663, 189, 498 Calculator

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


Online GCD Calculator is useful to find the GCD of 854, 663, 189, 498 quickly. Get the easiest ways to solve the greatest common divisor of 854, 663, 189, 498 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 854, 663, 189, 498 with Factoring?

Given Input numbers are 854, 663, 189, 498

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498


GCD of numbers is the greatest common divisor

So, the GCD (854, 663, 189, 498) = 1.

Find GCD of 854, 663, 189, 498 using Prime Factorization

Given numbers are 854, 663, 189, 498

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 663 are 3 x 13 x 17

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 498 are 2 x 3 x 83

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

Steps to Calculate GCD of 854, 663, 189, 498 using LCM Formula

Given numbers are 854, 663, 189, 498

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

Apply this formula for all numbers.

Step1:

LCM(854, 663) = 566202

GCD(854, 663) = ( 854 x 663 ) / 566202

= 854 / 663

= 854


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1


So, Greatest Common Divisor of 854, 663, 189, 498 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 854, 663, 189, 498

Given numbers are 854, 663, 189, 498
The greatest common divisor of numbers 854, 663, 189, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 663, 189, 498 is 1.

FAQs on GCD of 854, 663, 189, 498 Calculator

1. What is the GCD of 854, 663, 189, 498?

GCD of given numbers 854, 663, 189, 498 is 1


2. How to calculate the greatest common divisor of 854, 663, 189, 498?

We can find the highest common divisor of 854, 663, 189, 498 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 854, 663, 189, 498 i.e 1.


3. How can I use the GCD of 854, 663, 189, 498Calculator?

Out the numbers 854, 663, 189, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.