GCD of 165, 280, 264 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 165, 280, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 280, 264 is 1
GCD(165, 280, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 280, 264 is 1
GCD(165, 280, 264) = 1
GCDof 165,280,264 is 1
Given Input numbers are 165, 280, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 165, 280, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 280, 264 is 1.
Therefore, GCD of numbers 165, 280, 264 is 1
Given Input Data is 165, 280, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 165, 280, 264 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(165, 280) = 9240
GCD(165, 280) = ( 165 x 280 ) / 9240
GCD(165, 280) = 46200 / 9240
GCD(165, 280) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 264) = 1320
GCD(5, 264) = ( 5 x 264 ) / 1320
GCD(5, 264) = 1320 / 1320
GCD(5, 264) = 1
GCD of 165, 280, 264 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 165, 280, 264
1. What is the GCD of 165, 280, 264?
GCD of 165, 280, 264 is 1
2. Where do I get the detailed procedure to find GCD of 165, 280, 264?
You can find a detailed procedure to find GCD of 165, 280, 264 on our page.
3. How to find GCD of 165, 280, 264 on a calculator?
You can find the GCD of 165, 280, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.