GCD of 398, 508, 126 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 398, 508, 126 quickly. Get the easiest ways to solve the greatest common divisor of 398, 508, 126 i.e 2 in different methods as follows.
Given Input numbers are 398, 508, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (398, 508, 126) = 2.
Given numbers are 398, 508, 126
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 508 are 2 x 2 x 127
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 398, 508, 126 is 2.
Steps to Calculate GCD of 398, 508, 126 using LCM Formula
Given numbers are 398, 508, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 508) = 101092
GCD(398, 508) = ( 398 x 508 ) / 101092
= 398 / 508
= 398
Step2:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 398, 508, 126 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 398, 508, 126
Given numbers are 398, 508, 126
The greatest common divisor of numbers 398, 508, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 508, 126 is 2.
FAQs on GCD of 398, 508, 126 Calculator
1. What is the GCD of 398, 508, 126?
GCD of given numbers 398, 508, 126 is 2
2. How to calculate the greatest common divisor of 398, 508, 126?
We can find the highest common divisor of 398, 508, 126 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 398, 508, 126 i.e 2.
3. How can I use the GCD of 398, 508, 126Calculator?
Out the numbers 398, 508, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.