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, 989, 858, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 989, 858, 312 is 1
GCD(350, 989, 858, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 989, 858, 312 is 1
GCD(350, 989, 858, 312) = 1
Given Input numbers are 350, 989, 858, 312
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 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 350, 989, 858, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 989, 858, 312 is 1.
Therefore, GCD of numbers 350, 989, 858, 312 is 1
Given Input Data is 350, 989, 858, 312
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 989 is 23 x 43
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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, 989) = 346150
GCD(350, 989) = ( 350 x 989 ) / 346150
GCD(350, 989) = 346150 / 346150
GCD(350, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 350, 989, 858, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 989, 858, 312?
GCD of 350, 989, 858, 312 is 1
2. Where do I get the detailed procedure to find GCD of 350, 989, 858, 312?
You can find a detailed procedure to find GCD of 350, 989, 858, 312 on our page.
3. How to find GCD of 350, 989, 858, 312 on a calculator?
You can find the GCD of 350, 989, 858, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.