Online GCD Calculator is useful to find the GCD of 806, 142, 660, 196 quickly. Get the easiest ways to solve the greatest common divisor of 806, 142, 660, 196 i.e 2 in different methods as follows.
Given Input numbers are 806, 142, 660, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 806 :
The positive integer divisors of 806 that completely divides 806 are.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (806, 142, 660, 196) = 2.
Given numbers are 806, 142, 660, 196
The list of prime factors of all numbers are
Prime factors of 806 are 2 x 13 x 31
Prime factors of 142 are 2 x 71
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 196 are 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 806, 142, 660, 196 is 2.
Given numbers are 806, 142, 660, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(806, 142) = 57226
GCD(806, 142) = ( 806 x 142 ) / 57226
= 806 / 142
= 806
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
Step3:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
So, Greatest Common Divisor of 806, 142, 660, 196 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 806, 142, 660, 196
The greatest common divisor of numbers 806, 142, 660, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 142, 660, 196 is 2.
1. What is the GCD of 806, 142, 660, 196?
GCD of given numbers 806, 142, 660, 196 is 2
2. How to calculate the greatest common divisor of 806, 142, 660, 196?
We can find the highest common divisor of 806, 142, 660, 196 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 806, 142, 660, 196 i.e 2.
3. How can I use the GCD of 806, 142, 660, 196Calculator?
Out the numbers 806, 142, 660, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.