Online GCD Calculator is useful to find the GCD of 660, 896, 612, 772 quickly. Get the easiest ways to solve the greatest common divisor of 660, 896, 612, 772 i.e 4 in different methods as follows.
Given Input numbers are 660, 896, 612, 772
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 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (660, 896, 612, 772) = 4.
Given numbers are 660, 896, 612, 772
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 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 22
Therefore, GCD of 660, 896, 612, 772 is 4.
Given numbers are 660, 896, 612, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 896) = 147840
GCD(660, 896) = ( 660 x 896 ) / 147840
= 660 / 896
= 660
Step2:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
Step3:
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
= 4 / 772
= 4
So, Greatest Common Divisor of 660, 896, 612, 772 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 896, 612, 772
The greatest common divisor of numbers 660, 896, 612, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 896, 612, 772 is 4.
1. What is the GCD of 660, 896, 612, 772?
GCD of given numbers 660, 896, 612, 772 is 4
2. How to calculate the greatest common divisor of 660, 896, 612, 772?
We can find the highest common divisor of 660, 896, 612, 772 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, 896, 612, 772 i.e 4.
3. How can I use the GCD of 660, 896, 612, 772Calculator?
Out the numbers 660, 896, 612, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.