Online GCD Calculator is useful to find the GCD of 196, 488, 992, 660 quickly. Get the easiest ways to solve the greatest common divisor of 196, 488, 992, 660 i.e 4 in different methods as follows.
Given Input numbers are 196, 488, 992, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
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
GCD of numbers is the greatest common divisor
So, the GCD (196, 488, 992, 660) = 4.
Given numbers are 196, 488, 992, 660
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 196, 488, 992, 660 is 4.
Given numbers are 196, 488, 992, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 488) = 23912
GCD(196, 488) = ( 196 x 488 ) / 23912
= 196 / 488
= 196
Step2:
LCM(4, 992) = 992
GCD(4, 992) = ( 4 x 992 ) / 992
= 4 / 992
= 4
Step3:
LCM(4, 660) = 660
GCD(4, 660) = ( 4 x 660 ) / 660
= 4 / 660
= 4
So, Greatest Common Divisor of 196, 488, 992, 660 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 488, 992, 660
The greatest common divisor of numbers 196, 488, 992, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 488, 992, 660 is 4.
1. What is the GCD of 196, 488, 992, 660?
GCD of given numbers 196, 488, 992, 660 is 4
2. How to calculate the greatest common divisor of 196, 488, 992, 660?
We can find the highest common divisor of 196, 488, 992, 660 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 196, 488, 992, 660 i.e 4.
3. How can I use the GCD of 196, 488, 992, 660Calculator?
Out the numbers 196, 488, 992, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.