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 412, 804, 49, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 804, 49, 985 is 1
GCD(412, 804, 49, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 804, 49, 985 is 1
GCD(412, 804, 49, 985) = 1
Given Input numbers are 412, 804, 49, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 412, 804, 49, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 804, 49, 985 is 1.
Therefore, GCD of numbers 412, 804, 49, 985 is 1
Given Input Data is 412, 804, 49, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 49 is 7 x 7
Prime Factorization of 985 is 5 x 197
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(412, 804) = 82812
GCD(412, 804) = ( 412 x 804 ) / 82812
GCD(412, 804) = 331248 / 82812
GCD(412, 804) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 49) = 196
GCD(4, 49) = ( 4 x 49 ) / 196
GCD(4, 49) = 196 / 196
GCD(4, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 412, 804, 49, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 804, 49, 985?
GCD of 412, 804, 49, 985 is 1
2. Where do I get the detailed procedure to find GCD of 412, 804, 49, 985?
You can find a detailed procedure to find GCD of 412, 804, 49, 985 on our page.
3. How to find GCD of 412, 804, 49, 985 on a calculator?
You can find the GCD of 412, 804, 49, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.