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 196, 966, 75, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 966, 75, 833 is 1
GCD(196, 966, 75, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 966, 75, 833 is 1
GCD(196, 966, 75, 833) = 1
Given Input numbers are 196, 966, 75, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 196, 966, 75, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 966, 75, 833 is 1.
Therefore, GCD of numbers 196, 966, 75, 833 is 1
Given Input Data is 196, 966, 75, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 833 is 7 x 7 x 17
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(196, 966) = 13524
GCD(196, 966) = ( 196 x 966 ) / 13524
GCD(196, 966) = 189336 / 13524
GCD(196, 966) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 75) = 1050
GCD(14, 75) = ( 14 x 75 ) / 1050
GCD(14, 75) = 1050 / 1050
GCD(14, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 196, 966, 75, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 966, 75, 833?
GCD of 196, 966, 75, 833 is 1
2. Where do I get the detailed procedure to find GCD of 196, 966, 75, 833?
You can find a detailed procedure to find GCD of 196, 966, 75, 833 on our page.
3. How to find GCD of 196, 966, 75, 833 on a calculator?
You can find the GCD of 196, 966, 75, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.