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 921, 126, 161, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 126, 161, 284 is 1
GCD(921, 126, 161, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 126, 161, 284 is 1
GCD(921, 126, 161, 284) = 1
Given Input numbers are 921, 126, 161, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 921, 126, 161, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 126, 161, 284 is 1.
Therefore, GCD of numbers 921, 126, 161, 284 is 1
Given Input Data is 921, 126, 161, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 161 is 7 x 23
Prime Factorization of 284 is 2 x 2 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(921, 126) = 38682
GCD(921, 126) = ( 921 x 126 ) / 38682
GCD(921, 126) = 116046 / 38682
GCD(921, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 161) = 483
GCD(3, 161) = ( 3 x 161 ) / 483
GCD(3, 161) = 483 / 483
GCD(3, 161) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 921, 126, 161, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 126, 161, 284?
GCD of 921, 126, 161, 284 is 1
2. Where do I get the detailed procedure to find GCD of 921, 126, 161, 284?
You can find a detailed procedure to find GCD of 921, 126, 161, 284 on our page.
3. How to find GCD of 921, 126, 161, 284 on a calculator?
You can find the GCD of 921, 126, 161, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.