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, 842, 125, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 842, 125, 990 is 1
GCD(967, 842, 125, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 842, 125, 990 is 1
GCD(967, 842, 125, 990) = 1
Given Input numbers are 967, 842, 125, 990
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 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Greatest Common Divisior
We found the divisors of 967, 842, 125, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 842, 125, 990 is 1.
Therefore, GCD of numbers 967, 842, 125, 990 is 1
Given Input Data is 967, 842, 125, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 842 is 2 x 421
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
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, 842) = 814214
GCD(967, 842) = ( 967 x 842 ) / 814214
GCD(967, 842) = 814214 / 814214
GCD(967, 842) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 967, 842, 125, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 842, 125, 990?
GCD of 967, 842, 125, 990 is 1
2. Where do I get the detailed procedure to find GCD of 967, 842, 125, 990?
You can find a detailed procedure to find GCD of 967, 842, 125, 990 on our page.
3. How to find GCD of 967, 842, 125, 990 on a calculator?
You can find the GCD of 967, 842, 125, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.