GCD of 902, 342, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 902, 342, 289 quickly. Get the easiest ways to solve the greatest common divisor of 902, 342, 289 i.e 1 in different methods as follows.
Given Input numbers are 902, 342, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (902, 342, 289) = 1.
Given numbers are 902, 342, 289
The list of prime factors of all numbers are
Prime factors of 902 are 2 x 11 x 41
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 902, 342, 289 using LCM Formula
Given numbers are 902, 342, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(902, 342) = 154242
GCD(902, 342) = ( 902 x 342 ) / 154242
= 902 / 342
= 902
Step2:
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
= 2 / 289
= 2
So, Greatest Common Divisor of 902, 342, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 902, 342, 289
Given numbers are 902, 342, 289
The greatest common divisor of numbers 902, 342, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 342, 289 is 1.
FAQs on GCD of 902, 342, 289 Calculator
1. What is the GCD of 902, 342, 289?
GCD of given numbers 902, 342, 289 is 1
2. How to calculate the greatest common divisor of 902, 342, 289?
We can find the highest common divisor of 902, 342, 289 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 902, 342, 289 i.e 1.
3. How can I use the GCD of 902, 342, 289Calculator?
Out the numbers 902, 342, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.