Online GCD Calculator is useful to find the GCD of 660, 452, 780, 656 quickly. Get the easiest ways to solve the greatest common divisor of 660, 452, 780, 656 i.e 4 in different methods as follows.
Given Input numbers are 660, 452, 780, 656
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (660, 452, 780, 656) = 4.
Given numbers are 660, 452, 780, 656
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 452 are 2 x 2 x 113
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The highest common occurrence is 22
Therefore, GCD of 660, 452, 780, 656 is 4.
Given numbers are 660, 452, 780, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 452) = 74580
GCD(660, 452) = ( 660 x 452 ) / 74580
= 660 / 452
= 660
Step2:
LCM(4, 780) = 780
GCD(4, 780) = ( 4 x 780 ) / 780
= 4 / 780
= 4
Step3:
LCM(4, 656) = 656
GCD(4, 656) = ( 4 x 656 ) / 656
= 4 / 656
= 4
So, Greatest Common Divisor of 660, 452, 780, 656 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 452, 780, 656
The greatest common divisor of numbers 660, 452, 780, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 452, 780, 656 is 4.
1. What is the GCD of 660, 452, 780, 656?
GCD of given numbers 660, 452, 780, 656 is 4
2. How to calculate the greatest common divisor of 660, 452, 780, 656?
We can find the highest common divisor of 660, 452, 780, 656 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, 452, 780, 656 i.e 4.
3. How can I use the GCD of 660, 452, 780, 656Calculator?
Out the numbers 660, 452, 780, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.