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 264, 467, 69, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 467, 69, 119 is 1
GCD(264, 467, 69, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 467, 69, 119 is 1
GCD(264, 467, 69, 119) = 1
Given Input numbers are 264, 467, 69, 119
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 264, 467, 69, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 467, 69, 119 is 1.
Therefore, GCD of numbers 264, 467, 69, 119 is 1
Given Input Data is 264, 467, 69, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 467 is 467
Prime Factorization of 69 is 3 x 23
Prime Factorization of 119 is 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(264, 467) = 123288
GCD(264, 467) = ( 264 x 467 ) / 123288
GCD(264, 467) = 123288 / 123288
GCD(264, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 264, 467, 69, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 467, 69, 119?
GCD of 264, 467, 69, 119 is 1
2. Where do I get the detailed procedure to find GCD of 264, 467, 69, 119?
You can find a detailed procedure to find GCD of 264, 467, 69, 119 on our page.
3. How to find GCD of 264, 467, 69, 119 on a calculator?
You can find the GCD of 264, 467, 69, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.