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 355, 849, 785, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 849, 785, 850 is 1
GCD(355, 849, 785, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 849, 785, 850 is 1
GCD(355, 849, 785, 850) = 1
Given Input numbers are 355, 849, 785, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
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
Greatest Common Divisior
We found the divisors of 355, 849, 785, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 849, 785, 850 is 1.
Therefore, GCD of numbers 355, 849, 785, 850 is 1
Given Input Data is 355, 849, 785, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 849 is 3 x 283
Prime Factorization of 785 is 5 x 157
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(355, 849) = 301395
GCD(355, 849) = ( 355 x 849 ) / 301395
GCD(355, 849) = 301395 / 301395
GCD(355, 849) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 355, 849, 785, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 849, 785, 850?
GCD of 355, 849, 785, 850 is 1
2. Where do I get the detailed procedure to find GCD of 355, 849, 785, 850?
You can find a detailed procedure to find GCD of 355, 849, 785, 850 on our page.
3. How to find GCD of 355, 849, 785, 850 on a calculator?
You can find the GCD of 355, 849, 785, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.