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 951, 966, 96, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 951, 966, 96, 196 is 1
GCD(951, 966, 96, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 951, 966, 96, 196 is 1
GCD(951, 966, 96, 196) = 1
Given Input numbers are 951, 966, 96, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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
Greatest Common Divisior
We found the divisors of 951, 966, 96, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 966, 96, 196 is 1.
Therefore, GCD of numbers 951, 966, 96, 196 is 1
Given Input Data is 951, 966, 96, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 951 is 3 x 317
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 196 is 2 x 2 x 7 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(951, 966) = 306222
GCD(951, 966) = ( 951 x 966 ) / 306222
GCD(951, 966) = 918666 / 306222
GCD(951, 966) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 196) = 588
GCD(3, 196) = ( 3 x 196 ) / 588
GCD(3, 196) = 588 / 588
GCD(3, 196) = 1
GCD of 951, 966, 96, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 951, 966, 96, 196?
GCD of 951, 966, 96, 196 is 1
2. Where do I get the detailed procedure to find GCD of 951, 966, 96, 196?
You can find a detailed procedure to find GCD of 951, 966, 96, 196 on our page.
3. How to find GCD of 951, 966, 96, 196 on a calculator?
You can find the GCD of 951, 966, 96, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.