GCD of 428, 106, 359, 221 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 106, 359, 221 quickly. Get the easiest ways to solve the greatest common divisor of 428, 106, 359, 221 i.e 1 in different methods as follows.
Given Input numbers are 428, 106, 359, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (428, 106, 359, 221) = 1.
Given numbers are 428, 106, 359, 221
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 106 are 2 x 53
Prime factors of 359 are 359
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 428, 106, 359, 221 using LCM Formula
Given numbers are 428, 106, 359, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 106) = 22684
GCD(428, 106) = ( 428 x 106 ) / 22684
= 428 / 106
= 428
Step2:
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
= 2 / 359
= 2
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 428, 106, 359, 221 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 428, 106, 359, 221
Given numbers are 428, 106, 359, 221
The greatest common divisor of numbers 428, 106, 359, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 106, 359, 221 is 1.
FAQs on GCD of 428, 106, 359, 221 Calculator
1. What is the GCD of 428, 106, 359, 221?
GCD of given numbers 428, 106, 359, 221 is 1
2. How to calculate the greatest common divisor of 428, 106, 359, 221?
We can find the highest common divisor of 428, 106, 359, 221 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 428, 106, 359, 221 i.e 1.
3. How can I use the GCD of 428, 106, 359, 221Calculator?
Out the numbers 428, 106, 359, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.