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GCD of 998, 796, 123, 846 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, 796, 123, 846 quickly. Get the easiest ways to solve the greatest common divisor of 998, 796, 123, 846 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 796, 123, 846 with Factoring?

Given Input numbers are 998, 796, 123, 846

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846


GCD of numbers is the greatest common divisor

So, the GCD (998, 796, 123, 846) = 1.

Find GCD of 998, 796, 123, 846 using Prime Factorization

Given numbers are 998, 796, 123, 846

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 796 are 2 x 2 x 199

Prime factors of 123 are 3 x 41

Prime factors of 846 are 2 x 3 x 3 x 47

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

Steps to Calculate GCD of 998, 796, 123, 846 using LCM Formula

Given numbers are 998, 796, 123, 846

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

Apply this formula for all numbers.

Step1:

LCM(998, 796) = 397204

GCD(998, 796) = ( 998 x 796 ) / 397204

= 998 / 796

= 998


Step2:

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

= 2 / 123

= 2


Step3:

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

= 1 / 846

= 1


So, Greatest Common Divisor of 998, 796, 123, 846 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 796, 123, 846

Given numbers are 998, 796, 123, 846
The greatest common divisor of numbers 998, 796, 123, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 796, 123, 846 is 1.

FAQs on GCD of 998, 796, 123, 846 Calculator

1. What is the GCD of 998, 796, 123, 846?

GCD of given numbers 998, 796, 123, 846 is 1


2. How to calculate the greatest common divisor of 998, 796, 123, 846?

We can find the highest common divisor of 998, 796, 123, 846 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, 796, 123, 846 i.e 1.


3. How can I use the GCD of 998, 796, 123, 846Calculator?

Out the numbers 998, 796, 123, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.