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 461, 990, 37, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 990, 37, 292 is 1
GCD(461, 990, 37, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 990, 37, 292 is 1
GCD(461, 990, 37, 292) = 1
Given Input numbers are 461, 990, 37, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 461, 990, 37, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 990, 37, 292 is 1.
Therefore, GCD of numbers 461, 990, 37, 292 is 1
Given Input Data is 461, 990, 37, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 37 is 37
Prime Factorization of 292 is 2 x 2 x 73
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(461, 990) = 456390
GCD(461, 990) = ( 461 x 990 ) / 456390
GCD(461, 990) = 456390 / 456390
GCD(461, 990) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 461, 990, 37, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 990, 37, 292?
GCD of 461, 990, 37, 292 is 1
2. Where do I get the detailed procedure to find GCD of 461, 990, 37, 292?
You can find a detailed procedure to find GCD of 461, 990, 37, 292 on our page.
3. How to find GCD of 461, 990, 37, 292 on a calculator?
You can find the GCD of 461, 990, 37, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.