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 785, 353, 70, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 353, 70, 800 is 1
GCD(785, 353, 70, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 353, 70, 800 is 1
GCD(785, 353, 70, 800) = 1
Given Input numbers are 785, 353, 70, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 785, 353, 70, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 353, 70, 800 is 1.
Therefore, GCD of numbers 785, 353, 70, 800 is 1
Given Input Data is 785, 353, 70, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 353 is 353
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(785, 353) = 277105
GCD(785, 353) = ( 785 x 353 ) / 277105
GCD(785, 353) = 277105 / 277105
GCD(785, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 785, 353, 70, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 353, 70, 800?
GCD of 785, 353, 70, 800 is 1
2. Where do I get the detailed procedure to find GCD of 785, 353, 70, 800?
You can find a detailed procedure to find GCD of 785, 353, 70, 800 on our page.
3. How to find GCD of 785, 353, 70, 800 on a calculator?
You can find the GCD of 785, 353, 70, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.