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 44, 488, 340, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 488, 340, 921 is 1
GCD(44, 488, 340, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 488, 340, 921 is 1
GCD(44, 488, 340, 921) = 1
Given Input numbers are 44, 488, 340, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 44, 488, 340, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 488, 340, 921 is 1.
Therefore, GCD of numbers 44, 488, 340, 921 is 1
Given Input Data is 44, 488, 340, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 921 is 3 x 307
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(44, 488) = 5368
GCD(44, 488) = ( 44 x 488 ) / 5368
GCD(44, 488) = 21472 / 5368
GCD(44, 488) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 340) = 340
GCD(4, 340) = ( 4 x 340 ) / 340
GCD(4, 340) = 1360 / 340
GCD(4, 340) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 921) = 3684
GCD(4, 921) = ( 4 x 921 ) / 3684
GCD(4, 921) = 3684 / 3684
GCD(4, 921) = 1
GCD of 44, 488, 340, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 488, 340, 921?
GCD of 44, 488, 340, 921 is 1
2. Where do I get the detailed procedure to find GCD of 44, 488, 340, 921?
You can find a detailed procedure to find GCD of 44, 488, 340, 921 on our page.
3. How to find GCD of 44, 488, 340, 921 on a calculator?
You can find the GCD of 44, 488, 340, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.