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, 141, 988, 852 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 141, 988, 852 is 1
GCD(491, 141, 988, 852) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 141, 988, 852 is 1
GCD(491, 141, 988, 852) = 1
Given Input numbers are 491, 141, 988, 852
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 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Greatest Common Divisior
We found the divisors of 491, 141, 988, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 141, 988, 852 is 1.
Therefore, GCD of numbers 491, 141, 988, 852 is 1
Given Input Data is 491, 141, 988, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 141 is 3 x 47
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 852 is 2 x 2 x 3 x 71
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, 141) = 69231
GCD(491, 141) = ( 491 x 141 ) / 69231
GCD(491, 141) = 69231 / 69231
GCD(491, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
GCD of 491, 141, 988, 852 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 141, 988, 852?
GCD of 491, 141, 988, 852 is 1
2. Where do I get the detailed procedure to find GCD of 491, 141, 988, 852?
You can find a detailed procedure to find GCD of 491, 141, 988, 852 on our page.
3. How to find GCD of 491, 141, 988, 852 on a calculator?
You can find the GCD of 491, 141, 988, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.