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 491, 548, 471, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 548, 471, 541 is 1
GCD(491, 548, 471, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 548, 471, 541 is 1
GCD(491, 548, 471, 541) = 1
Given Input numbers are 491, 548, 471, 541
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 491, 548, 471, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 548, 471, 541 is 1.
Therefore, GCD of numbers 491, 548, 471, 541 is 1
Given Input Data is 491, 548, 471, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 471 is 3 x 157
Prime Factorization of 541 is 541
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(491, 548) = 269068
GCD(491, 548) = ( 491 x 548 ) / 269068
GCD(491, 548) = 269068 / 269068
GCD(491, 548) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 541) = 541
GCD(1, 541) = ( 1 x 541 ) / 541
GCD(1, 541) = 541 / 541
GCD(1, 541) = 1
GCD of 491, 548, 471, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 548, 471, 541?
GCD of 491, 548, 471, 541 is 1
2. Where do I get the detailed procedure to find GCD of 491, 548, 471, 541?
You can find a detailed procedure to find GCD of 491, 548, 471, 541 on our page.
3. How to find GCD of 491, 548, 471, 541 on a calculator?
You can find the GCD of 491, 548, 471, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.