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 846, 437, 461, 916 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 437, 461, 916 is 1
GCD(846, 437, 461, 916) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 437, 461, 916 is 1
GCD(846, 437, 461, 916) = 1
Given Input numbers are 846, 437, 461, 916
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Greatest Common Divisior
We found the divisors of 846, 437, 461, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 437, 461, 916 is 1.
Therefore, GCD of numbers 846, 437, 461, 916 is 1
Given Input Data is 846, 437, 461, 916
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 437 is 19 x 23
Prime Factorization of 461 is 461
Prime Factorization of 916 is 2 x 2 x 229
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(846, 437) = 369702
GCD(846, 437) = ( 846 x 437 ) / 369702
GCD(846, 437) = 369702 / 369702
GCD(846, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
GCD of 846, 437, 461, 916 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 437, 461, 916?
GCD of 846, 437, 461, 916 is 1
2. Where do I get the detailed procedure to find GCD of 846, 437, 461, 916?
You can find a detailed procedure to find GCD of 846, 437, 461, 916 on our page.
3. How to find GCD of 846, 437, 461, 916 on a calculator?
You can find the GCD of 846, 437, 461, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.