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 998, 828, 682, 195 Calculator

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


Online GCD Calculator is useful to find the GCD of 998, 828, 682, 195 quickly. Get the easiest ways to solve the greatest common divisor of 998, 828, 682, 195 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 828, 682, 195 with Factoring?

Given Input numbers are 998, 828, 682, 195

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195


GCD of numbers is the greatest common divisor

So, the GCD (998, 828, 682, 195) = 1.

Find GCD of 998, 828, 682, 195 using Prime Factorization

Given numbers are 998, 828, 682, 195

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 682 are 2 x 11 x 31

Prime factors of 195 are 3 x 5 x 13

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

Steps to Calculate GCD of 998, 828, 682, 195 using LCM Formula

Given numbers are 998, 828, 682, 195

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

Apply this formula for all numbers.

Step1:

LCM(998, 828) = 413172

GCD(998, 828) = ( 998 x 828 ) / 413172

= 998 / 828

= 998


Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2


Step3:

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

= 2 / 195

= 2


So, Greatest Common Divisor of 998, 828, 682, 195 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 828, 682, 195

Given numbers are 998, 828, 682, 195
The greatest common divisor of numbers 998, 828, 682, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 828, 682, 195 is 1.

FAQs on GCD of 998, 828, 682, 195 Calculator

1. What is the GCD of 998, 828, 682, 195?

GCD of given numbers 998, 828, 682, 195 is 1


2. How to calculate the greatest common divisor of 998, 828, 682, 195?

We can find the highest common divisor of 998, 828, 682, 195 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 998, 828, 682, 195 i.e 1.


3. How can I use the GCD of 998, 828, 682, 195Calculator?

Out the numbers 998, 828, 682, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.