GCD of 155, 289, 214, 226 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 155, 289, 214, 226 quickly. Get the easiest ways to solve the greatest common divisor of 155, 289, 214, 226 i.e 1 in different methods as follows.
Given Input numbers are 155, 289, 214, 226
In the factoring method, we have to find the divisors of all numbers
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
GCD of numbers is the greatest common divisor
So, the GCD (155, 289, 214, 226) = 1.
Given numbers are 155, 289, 214, 226
The list of prime factors of all numbers are
Prime factors of 155 are 5 x 31
Prime factors of 289 are 17 x 17
Prime factors of 214 are 2 x 107
Prime factors of 226 are 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 155, 289, 214, 226 using LCM Formula
Given numbers are 155, 289, 214, 226
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(155, 289) = 44795
GCD(155, 289) = ( 155 x 289 ) / 44795
= 155 / 289
= 155
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
Step3:
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
= 1 / 226
= 1
So, Greatest Common Divisor of 155, 289, 214, 226 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 155, 289, 214, 226
Given numbers are 155, 289, 214, 226
The greatest common divisor of numbers 155, 289, 214, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 289, 214, 226 is 1.
FAQs on GCD of 155, 289, 214, 226 Calculator
1. What is the GCD of 155, 289, 214, 226?
GCD of given numbers 155, 289, 214, 226 is 1
2. How to calculate the greatest common divisor of 155, 289, 214, 226?
We can find the highest common divisor of 155, 289, 214, 226 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 155, 289, 214, 226 i.e 1.
3. How can I use the GCD of 155, 289, 214, 226Calculator?
Out the numbers 155, 289, 214, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.