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 664, 854, 666, 196 i.e. 2 largest integer that divides all the numbers equally.
GCD of 664, 854, 666, 196 is 2
GCD(664, 854, 666, 196) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 854, 666, 196 is 2
GCD(664, 854, 666, 196) = 2
Given Input numbers are 664, 854, 666, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
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 664, 854, 666, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 854, 666, 196 is 2.
Therefore, GCD of numbers 664, 854, 666, 196 is 2
Given Input Data is 664, 854, 666, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 196 is 2 x 2 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(664, 854) = 283528
GCD(664, 854) = ( 664 x 854 ) / 283528
GCD(664, 854) = 567056 / 283528
GCD(664, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
GCD(2, 666) = 1332 / 666
GCD(2, 666) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
GCD(2, 196) = 392 / 196
GCD(2, 196) = 2
GCD of 664, 854, 666, 196 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 854, 666, 196?
GCD of 664, 854, 666, 196 is 2
2. Where do I get the detailed procedure to find GCD of 664, 854, 666, 196?
You can find a detailed procedure to find GCD of 664, 854, 666, 196 on our page.
3. How to find GCD of 664, 854, 666, 196 on a calculator?
You can find the GCD of 664, 854, 666, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.