GCD of 106, 426, 634, 231 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 106, 426, 634, 231 quickly. Get the easiest ways to solve the greatest common divisor of 106, 426, 634, 231 i.e 1 in different methods as follows.
Given Input numbers are 106, 426, 634, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (106, 426, 634, 231) = 1.
Given numbers are 106, 426, 634, 231
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 426 are 2 x 3 x 71
Prime factors of 634 are 2 x 317
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 106, 426, 634, 231 using LCM Formula
Given numbers are 106, 426, 634, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 426) = 22578
GCD(106, 426) = ( 106 x 426 ) / 22578
= 106 / 426
= 106
Step2:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
Step3:
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
= 2 / 231
= 2
So, Greatest Common Divisor of 106, 426, 634, 231 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 106, 426, 634, 231
Given numbers are 106, 426, 634, 231
The greatest common divisor of numbers 106, 426, 634, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 426, 634, 231 is 1.
FAQs on GCD of 106, 426, 634, 231 Calculator
1. What is the GCD of 106, 426, 634, 231?
GCD of given numbers 106, 426, 634, 231 is 1
2. How to calculate the greatest common divisor of 106, 426, 634, 231?
We can find the highest common divisor of 106, 426, 634, 231 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 106, 426, 634, 231 i.e 1.
3. How can I use the GCD of 106, 426, 634, 231Calculator?
Out the numbers 106, 426, 634, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.