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 856, 804, 35, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 804, 35, 905 is 1
GCD(856, 804, 35, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 804, 35, 905 is 1
GCD(856, 804, 35, 905) = 1
Given Input numbers are 856, 804, 35, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
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 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 856, 804, 35, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 804, 35, 905 is 1.
Therefore, GCD of numbers 856, 804, 35, 905 is 1
Given Input Data is 856, 804, 35, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 35 is 5 x 7
Prime Factorization of 905 is 5 x 181
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(856, 804) = 172056
GCD(856, 804) = ( 856 x 804 ) / 172056
GCD(856, 804) = 688224 / 172056
GCD(856, 804) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 35) = 140
GCD(4, 35) = ( 4 x 35 ) / 140
GCD(4, 35) = 140 / 140
GCD(4, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 856, 804, 35, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 804, 35, 905?
GCD of 856, 804, 35, 905 is 1
2. Where do I get the detailed procedure to find GCD of 856, 804, 35, 905?
You can find a detailed procedure to find GCD of 856, 804, 35, 905 on our page.
3. How to find GCD of 856, 804, 35, 905 on a calculator?
You can find the GCD of 856, 804, 35, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.