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 350, 786, 899, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 786, 899, 535 is 1
GCD(350, 786, 899, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 786, 899, 535 is 1
GCD(350, 786, 899, 535) = 1
Given Input numbers are 350, 786, 899, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 350, 786, 899, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 786, 899, 535 is 1.
Therefore, GCD of numbers 350, 786, 899, 535 is 1
Given Input Data is 350, 786, 899, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 899 is 29 x 31
Prime Factorization of 535 is 5 x 107
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(350, 786) = 137550
GCD(350, 786) = ( 350 x 786 ) / 137550
GCD(350, 786) = 275100 / 137550
GCD(350, 786) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 899) = 1798
GCD(2, 899) = ( 2 x 899 ) / 1798
GCD(2, 899) = 1798 / 1798
GCD(2, 899) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 350, 786, 899, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 786, 899, 535?
GCD of 350, 786, 899, 535 is 1
2. Where do I get the detailed procedure to find GCD of 350, 786, 899, 535?
You can find a detailed procedure to find GCD of 350, 786, 899, 535 on our page.
3. How to find GCD of 350, 786, 899, 535 on a calculator?
You can find the GCD of 350, 786, 899, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.