GCD of 121, 113, 362, 998 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 121, 113, 362, 998 quickly. Get the easiest ways to solve the greatest common divisor of 121, 113, 362, 998 i.e 1 in different methods as follows.
Given Input numbers are 121, 113, 362, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (121, 113, 362, 998) = 1.
Given numbers are 121, 113, 362, 998
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 113 are 113
Prime factors of 362 are 2 x 181
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 121, 113, 362, 998 using LCM Formula
Given numbers are 121, 113, 362, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 113) = 13673
GCD(121, 113) = ( 121 x 113 ) / 13673
= 121 / 113
= 121
Step2:
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
= 1 / 362
= 1
Step3:
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
= 1 / 998
= 1
So, Greatest Common Divisor of 121, 113, 362, 998 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 121, 113, 362, 998
Given numbers are 121, 113, 362, 998
The greatest common divisor of numbers 121, 113, 362, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 113, 362, 998 is 1.
FAQs on GCD of 121, 113, 362, 998 Calculator
1. What is the GCD of 121, 113, 362, 998?
GCD of given numbers 121, 113, 362, 998 is 1
2. How to calculate the greatest common divisor of 121, 113, 362, 998?
We can find the highest common divisor of 121, 113, 362, 998 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 121, 113, 362, 998 i.e 1.
3. How can I use the GCD of 121, 113, 362, 998Calculator?
Out the numbers 121, 113, 362, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.