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 454, 908, 691, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 908, 691, 987 is 1
GCD(454, 908, 691, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 908, 691, 987 is 1
GCD(454, 908, 691, 987) = 1
Given Input numbers are 454, 908, 691, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 454, 908, 691, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 908, 691, 987 is 1.
Therefore, GCD of numbers 454, 908, 691, 987 is 1
Given Input Data is 454, 908, 691, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 691 is 691
Prime Factorization of 987 is 3 x 7 x 47
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(454, 908) = 908
GCD(454, 908) = ( 454 x 908 ) / 908
GCD(454, 908) = 412232 / 908
GCD(454, 908) = 454
Step2:
Here we consider the GCD from the above i.e. 454 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(454, 691) = 313714
GCD(454, 691) = ( 454 x 691 ) / 313714
GCD(454, 691) = 313714 / 313714
GCD(454, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 454, 908, 691, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 908, 691, 987?
GCD of 454, 908, 691, 987 is 1
2. Where do I get the detailed procedure to find GCD of 454, 908, 691, 987?
You can find a detailed procedure to find GCD of 454, 908, 691, 987 on our page.
3. How to find GCD of 454, 908, 691, 987 on a calculator?
You can find the GCD of 454, 908, 691, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.