Online GCD Calculator is useful to find the GCD of 776, 656, 296, 660 quickly. Get the easiest ways to solve the greatest common divisor of 776, 656, 296, 660 i.e 4 in different methods as follows.
Given Input numbers are 776, 656, 296, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
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 (776, 656, 296, 660) = 4.
Given numbers are 776, 656, 296, 660
The list of prime factors of all numbers are
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 776, 656, 296, 660 is 4.
Given numbers are 776, 656, 296, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(776, 656) = 63632
GCD(776, 656) = ( 776 x 656 ) / 63632
= 776 / 656
= 776
Step2:
LCM(8, 296) = 296
GCD(8, 296) = ( 8 x 296 ) / 296
= 8 / 296
= 8
Step3:
LCM(8, 660) = 1320
GCD(8, 660) = ( 8 x 660 ) / 1320
= 8 / 660
= 8
So, Greatest Common Divisor of 776, 656, 296, 660 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 776, 656, 296, 660
The greatest common divisor of numbers 776, 656, 296, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 656, 296, 660 is 4.
1. What is the GCD of 776, 656, 296, 660?
GCD of given numbers 776, 656, 296, 660 is 4
2. How to calculate the greatest common divisor of 776, 656, 296, 660?
We can find the highest common divisor of 776, 656, 296, 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 776, 656, 296, 660 i.e 4.
3. How can I use the GCD of 776, 656, 296, 660Calculator?
Out the numbers 776, 656, 296, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.