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GCD of 994, 401, 198, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 994, 401, 198, 138 quickly. Get the easiest ways to solve the greatest common divisor of 994, 401, 198, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 401, 198, 138 with Factoring?

Given Input numbers are 994, 401, 198, 138

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (994, 401, 198, 138) = 1.

Find GCD of 994, 401, 198, 138 using Prime Factorization

Given numbers are 994, 401, 198, 138

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 401 are 401

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 994, 401, 198, 138 using LCM Formula

Given numbers are 994, 401, 198, 138

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

Apply this formula for all numbers.

Step1:

LCM(994, 401) = 398594

GCD(994, 401) = ( 994 x 401 ) / 398594

= 994 / 401

= 994


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 994, 401, 198, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 401, 198, 138

Given numbers are 994, 401, 198, 138
The greatest common divisor of numbers 994, 401, 198, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 401, 198, 138 is 1.

FAQs on GCD of 994, 401, 198, 138 Calculator

1. What is the GCD of 994, 401, 198, 138?

GCD of given numbers 994, 401, 198, 138 is 1


2. How to calculate the greatest common divisor of 994, 401, 198, 138?

We can find the highest common divisor of 994, 401, 198, 138 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 994, 401, 198, 138 i.e 1.


3. How can I use the GCD of 994, 401, 198, 138Calculator?

Out the numbers 994, 401, 198, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.