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 41, 120, 666, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 120, 666, 980 is 1
GCD(41, 120, 666, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 120, 666, 980 is 1
GCD(41, 120, 666, 980) = 1
Given Input numbers are 41, 120, 666, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 41, 120, 666, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 120, 666, 980 is 1.
Therefore, GCD of numbers 41, 120, 666, 980 is 1
Given Input Data is 41, 120, 666, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(41, 120) = 4920
GCD(41, 120) = ( 41 x 120 ) / 4920
GCD(41, 120) = 4920 / 4920
GCD(41, 120) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 41, 120, 666, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 120, 666, 980?
GCD of 41, 120, 666, 980 is 1
2. Where do I get the detailed procedure to find GCD of 41, 120, 666, 980?
You can find a detailed procedure to find GCD of 41, 120, 666, 980 on our page.
3. How to find GCD of 41, 120, 666, 980 on a calculator?
You can find the GCD of 41, 120, 666, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.