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, 170, 99, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 170, 99, 857 is 1
GCD(967, 170, 99, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 170, 99, 857 is 1
GCD(967, 170, 99, 857) = 1
Given Input numbers are 967, 170, 99, 857
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 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 967, 170, 99, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 170, 99, 857 is 1.
Therefore, GCD of numbers 967, 170, 99, 857 is 1
Given Input Data is 967, 170, 99, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 857 is 857
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, 170) = 164390
GCD(967, 170) = ( 967 x 170 ) / 164390
GCD(967, 170) = 164390 / 164390
GCD(967, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 967, 170, 99, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 170, 99, 857?
GCD of 967, 170, 99, 857 is 1
2. Where do I get the detailed procedure to find GCD of 967, 170, 99, 857?
You can find a detailed procedure to find GCD of 967, 170, 99, 857 on our page.
3. How to find GCD of 967, 170, 99, 857 on a calculator?
You can find the GCD of 967, 170, 99, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.