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 808, 850, 32, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 850, 32, 735 is 1
GCD(808, 850, 32, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 850, 32, 735 is 1
GCD(808, 850, 32, 735) = 1
Given Input numbers are 808, 850, 32, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 808, 850, 32, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 850, 32, 735 is 1.
Therefore, GCD of numbers 808, 850, 32, 735 is 1
Given Input Data is 808, 850, 32, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(808, 850) = 343400
GCD(808, 850) = ( 808 x 850 ) / 343400
GCD(808, 850) = 686800 / 343400
GCD(808, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
GCD of 808, 850, 32, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 850, 32, 735?
GCD of 808, 850, 32, 735 is 1
2. Where do I get the detailed procedure to find GCD of 808, 850, 32, 735?
You can find a detailed procedure to find GCD of 808, 850, 32, 735 on our page.
3. How to find GCD of 808, 850, 32, 735 on a calculator?
You can find the GCD of 808, 850, 32, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.