GCD of 265, 360, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 265, 360, 289 quickly. Get the easiest ways to solve the greatest common divisor of 265, 360, 289 i.e 1 in different methods as follows.
Given Input numbers are 265, 360, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 (265, 360, 289) = 1.
Given numbers are 265, 360, 289
The list of prime factors of all numbers are
Prime factors of 265 are 5 x 53
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
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 265, 360, 289 using LCM Formula
Given numbers are 265, 360, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(265, 360) = 19080
GCD(265, 360) = ( 265 x 360 ) / 19080
= 265 / 360
= 265
Step2:
LCM(5, 289) = 1445
GCD(5, 289) = ( 5 x 289 ) / 1445
= 5 / 289
= 5
So, Greatest Common Divisor of 265, 360, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 265, 360, 289
Given numbers are 265, 360, 289
The greatest common divisor of numbers 265, 360, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 360, 289 is 1.
FAQs on GCD of 265, 360, 289 Calculator
1. What is the GCD of 265, 360, 289?
GCD of given numbers 265, 360, 289 is 1
2. How to calculate the greatest common divisor of 265, 360, 289?
We can find the highest common divisor of 265, 360, 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 265, 360, 289 i.e 1.
3. How can I use the GCD of 265, 360, 289Calculator?
Out the numbers 265, 360, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.