GCD of 269, 233, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 269, 233, 72 quickly. Get the easiest ways to solve the greatest common divisor of 269, 233, 72 i.e 1 in different methods as follows.
Given Input numbers are 269, 233, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 233 :
The positive integer divisors of 233 that completely divides 233 are.
1, 233
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (269, 233, 72) = 1.
Given numbers are 269, 233, 72
The list of prime factors of all numbers are
Prime factors of 269 are 269
Prime factors of 233 are 233
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 269, 233, 72 using LCM Formula
Given numbers are 269, 233, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(269, 233) = 62677
GCD(269, 233) = ( 269 x 233 ) / 62677
= 269 / 233
= 269
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 269, 233, 72 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 269, 233, 72
Given numbers are 269, 233, 72
The greatest common divisor of numbers 269, 233, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 233, 72 is 1.
FAQs on GCD of 269, 233, 72 Calculator
1. What is the GCD of 269, 233, 72?
GCD of given numbers 269, 233, 72 is 1
2. How to calculate the greatest common divisor of 269, 233, 72?
We can find the highest common divisor of 269, 233, 72 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 269, 233, 72 i.e 1.
3. How can I use the GCD of 269, 233, 72Calculator?
Out the numbers 269, 233, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.