Online GCD Calculator is useful to find the GCD of 660, 600, 472, 196 quickly. Get the easiest ways to solve the greatest common divisor of 660, 600, 472, 196 i.e 4 in different methods as follows.
Given Input numbers are 660, 600, 472, 196
In the factoring method, we have to find the divisors of all numbers
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 (660, 600, 472, 196) = 4.
Given numbers are 660, 600, 472, 196
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 196 are 2 x 2 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 660, 600, 472, 196 is 4.
Given numbers are 660, 600, 472, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 600) = 6600
GCD(660, 600) = ( 660 x 600 ) / 6600
= 660 / 600
= 660
Step2:
LCM(60, 472) = 7080
GCD(60, 472) = ( 60 x 472 ) / 7080
= 60 / 472
= 60
Step3:
LCM(4, 196) = 196
GCD(4, 196) = ( 4 x 196 ) / 196
= 4 / 196
= 4
So, Greatest Common Divisor of 660, 600, 472, 196 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 600, 472, 196
The greatest common divisor of numbers 660, 600, 472, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 600, 472, 196 is 4.
1. What is the GCD of 660, 600, 472, 196?
GCD of given numbers 660, 600, 472, 196 is 4
2. How to calculate the greatest common divisor of 660, 600, 472, 196?
We can find the highest common divisor of 660, 600, 472, 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 660, 600, 472, 196 i.e 4.
3. How can I use the GCD of 660, 600, 472, 196Calculator?
Out the numbers 660, 600, 472, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.