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 498, 941, 11, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 941, 11, 417 is 1
GCD(498, 941, 11, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 941, 11, 417 is 1
GCD(498, 941, 11, 417) = 1
Given Input numbers are 498, 941, 11, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 498, 941, 11, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 941, 11, 417 is 1.
Therefore, GCD of numbers 498, 941, 11, 417 is 1
Given Input Data is 498, 941, 11, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 941 is 941
Prime Factorization of 11 is 11
Prime Factorization of 417 is 3 x 139
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(498, 941) = 468618
GCD(498, 941) = ( 498 x 941 ) / 468618
GCD(498, 941) = 468618 / 468618
GCD(498, 941) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 498, 941, 11, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 941, 11, 417?
GCD of 498, 941, 11, 417 is 1
2. Where do I get the detailed procedure to find GCD of 498, 941, 11, 417?
You can find a detailed procedure to find GCD of 498, 941, 11, 417 on our page.
3. How to find GCD of 498, 941, 11, 417 on a calculator?
You can find the GCD of 498, 941, 11, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.