GCD of 122, 484, 493, 131 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 122, 484, 493, 131 quickly. Get the easiest ways to solve the greatest common divisor of 122, 484, 493, 131 i.e 1 in different methods as follows.
Given Input numbers are 122, 484, 493, 131
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (122, 484, 493, 131) = 1.
Given numbers are 122, 484, 493, 131
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 493 are 17 x 29
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 122, 484, 493, 131 using LCM Formula
Given numbers are 122, 484, 493, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 484) = 29524
GCD(122, 484) = ( 122 x 484 ) / 29524
= 122 / 484
= 122
Step2:
LCM(2, 493) = 986
GCD(2, 493) = ( 2 x 493 ) / 986
= 2 / 493
= 2
Step3:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
So, Greatest Common Divisor of 122, 484, 493, 131 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 122, 484, 493, 131
Given numbers are 122, 484, 493, 131
The greatest common divisor of numbers 122, 484, 493, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 484, 493, 131 is 1.
FAQs on GCD of 122, 484, 493, 131 Calculator
1. What is the GCD of 122, 484, 493, 131?
GCD of given numbers 122, 484, 493, 131 is 1
2. How to calculate the greatest common divisor of 122, 484, 493, 131?
We can find the highest common divisor of 122, 484, 493, 131 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 122, 484, 493, 131 i.e 1.
3. How can I use the GCD of 122, 484, 493, 131Calculator?
Out the numbers 122, 484, 493, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.