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 991, 143, 969, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 143, 969, 462 is 1
GCD(991, 143, 969, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 143, 969, 462 is 1
GCD(991, 143, 969, 462) = 1
Given Input numbers are 991, 143, 969, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 991, 143, 969, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 143, 969, 462 is 1.
Therefore, GCD of numbers 991, 143, 969, 462 is 1
Given Input Data is 991, 143, 969, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 143 is 11 x 13
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(991, 143) = 141713
GCD(991, 143) = ( 991 x 143 ) / 141713
GCD(991, 143) = 141713 / 141713
GCD(991, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 991, 143, 969, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 143, 969, 462?
GCD of 991, 143, 969, 462 is 1
2. Where do I get the detailed procedure to find GCD of 991, 143, 969, 462?
You can find a detailed procedure to find GCD of 991, 143, 969, 462 on our page.
3. How to find GCD of 991, 143, 969, 462 on a calculator?
You can find the GCD of 991, 143, 969, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.