Online GCD Calculator is useful to find the GCD of 472, 340, 192, 660 quickly. Get the easiest ways to solve the greatest common divisor of 472, 340, 192, 660 i.e 4 in different methods as follows.
Given Input numbers are 472, 340, 192, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
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 (472, 340, 192, 660) = 4.
Given numbers are 472, 340, 192, 660
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 472, 340, 192, 660 is 4.
Given numbers are 472, 340, 192, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 340) = 40120
GCD(472, 340) = ( 472 x 340 ) / 40120
= 472 / 340
= 472
Step2:
LCM(4, 192) = 192
GCD(4, 192) = ( 4 x 192 ) / 192
= 4 / 192
= 4
Step3:
LCM(4, 660) = 660
GCD(4, 660) = ( 4 x 660 ) / 660
= 4 / 660
= 4
So, Greatest Common Divisor of 472, 340, 192, 660 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 340, 192, 660
The greatest common divisor of numbers 472, 340, 192, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 340, 192, 660 is 4.
1. What is the GCD of 472, 340, 192, 660?
GCD of given numbers 472, 340, 192, 660 is 4
2. How to calculate the greatest common divisor of 472, 340, 192, 660?
We can find the highest common divisor of 472, 340, 192, 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 472, 340, 192, 660 i.e 4.
3. How can I use the GCD of 472, 340, 192, 660Calculator?
Out the numbers 472, 340, 192, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.