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 452, 917, 84, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 452, 917, 84, 991 is 1
GCD(452, 917, 84, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 452, 917, 84, 991 is 1
GCD(452, 917, 84, 991) = 1
Given Input numbers are 452, 917, 84, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 452, 917, 84, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 917, 84, 991 is 1.
Therefore, GCD of numbers 452, 917, 84, 991 is 1
Given Input Data is 452, 917, 84, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 917 is 7 x 131
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 991 is 991
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(452, 917) = 414484
GCD(452, 917) = ( 452 x 917 ) / 414484
GCD(452, 917) = 414484 / 414484
GCD(452, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 452, 917, 84, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 452, 917, 84, 991?
GCD of 452, 917, 84, 991 is 1
2. Where do I get the detailed procedure to find GCD of 452, 917, 84, 991?
You can find a detailed procedure to find GCD of 452, 917, 84, 991 on our page.
3. How to find GCD of 452, 917, 84, 991 on a calculator?
You can find the GCD of 452, 917, 84, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.