GCD of 502, 406, 398, 131 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 502, 406, 398, 131 quickly. Get the easiest ways to solve the greatest common divisor of 502, 406, 398, 131 i.e 1 in different methods as follows.
Given Input numbers are 502, 406, 398, 131
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
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 (502, 406, 398, 131) = 1.
Given numbers are 502, 406, 398, 131
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 406 are 2 x 7 x 29
Prime factors of 398 are 2 x 199
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 502, 406, 398, 131 using LCM Formula
Given numbers are 502, 406, 398, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 406) = 101906
GCD(502, 406) = ( 502 x 406 ) / 101906
= 502 / 406
= 502
Step2:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
Step3:
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
= 2 / 131
= 2
So, Greatest Common Divisor of 502, 406, 398, 131 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 502, 406, 398, 131
Given numbers are 502, 406, 398, 131
The greatest common divisor of numbers 502, 406, 398, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 406, 398, 131 is 1.
FAQs on GCD of 502, 406, 398, 131 Calculator
1. What is the GCD of 502, 406, 398, 131?
GCD of given numbers 502, 406, 398, 131 is 1
2. How to calculate the greatest common divisor of 502, 406, 398, 131?
We can find the highest common divisor of 502, 406, 398, 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 502, 406, 398, 131 i.e 1.
3. How can I use the GCD of 502, 406, 398, 131Calculator?
Out the numbers 502, 406, 398, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.