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 880, 335, 804, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 335, 804, 144 is 1
GCD(880, 335, 804, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 335, 804, 144 is 1
GCD(880, 335, 804, 144) = 1
Given Input numbers are 880, 335, 804, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 880, 335, 804, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 335, 804, 144 is 1.
Therefore, GCD of numbers 880, 335, 804, 144 is 1
Given Input Data is 880, 335, 804, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 335 is 5 x 67
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(880, 335) = 58960
GCD(880, 335) = ( 880 x 335 ) / 58960
GCD(880, 335) = 294800 / 58960
GCD(880, 335) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 804) = 4020
GCD(5, 804) = ( 5 x 804 ) / 4020
GCD(5, 804) = 4020 / 4020
GCD(5, 804) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 880, 335, 804, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 335, 804, 144?
GCD of 880, 335, 804, 144 is 1
2. Where do I get the detailed procedure to find GCD of 880, 335, 804, 144?
You can find a detailed procedure to find GCD of 880, 335, 804, 144 on our page.
3. How to find GCD of 880, 335, 804, 144 on a calculator?
You can find the GCD of 880, 335, 804, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.