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 967, 612, 13, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 612, 13, 350 is 1
GCD(967, 612, 13, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 612, 13, 350 is 1
GCD(967, 612, 13, 350) = 1
Given Input numbers are 967, 612, 13, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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
Greatest Common Divisior
We found the divisors of 967, 612, 13, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 612, 13, 350 is 1.
Therefore, GCD of numbers 967, 612, 13, 350 is 1
Given Input Data is 967, 612, 13, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 13 is 13
Prime Factorization of 350 is 2 x 5 x 5 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(967, 612) = 591804
GCD(967, 612) = ( 967 x 612 ) / 591804
GCD(967, 612) = 591804 / 591804
GCD(967, 612) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 967, 612, 13, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 612, 13, 350?
GCD of 967, 612, 13, 350 is 1
2. Where do I get the detailed procedure to find GCD of 967, 612, 13, 350?
You can find a detailed procedure to find GCD of 967, 612, 13, 350 on our page.
3. How to find GCD of 967, 612, 13, 350 on a calculator?
You can find the GCD of 967, 612, 13, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.