Online GCD Calculator is useful to find the GCD of 756, 120, 332, 666 quickly. Get the easiest ways to solve the greatest common divisor of 756, 120, 332, 666 i.e 2 in different methods as follows.
Given Input numbers are 756, 120, 332, 666
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
GCD of numbers is the greatest common divisor
So, the GCD (756, 120, 332, 666) = 2.
Given numbers are 756, 120, 332, 666
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 332 are 2 x 2 x 83
Prime factors of 666 are 2 x 3 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 756, 120, 332, 666 is 2.
Given numbers are 756, 120, 332, 666
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 120) = 7560
GCD(756, 120) = ( 756 x 120 ) / 7560
= 756 / 120
= 756
Step2:
LCM(12, 332) = 996
GCD(12, 332) = ( 12 x 332 ) / 996
= 12 / 332
= 12
Step3:
LCM(4, 666) = 1332
GCD(4, 666) = ( 4 x 666 ) / 1332
= 4 / 666
= 4
So, Greatest Common Divisor of 756, 120, 332, 666 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 120, 332, 666
The greatest common divisor of numbers 756, 120, 332, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 120, 332, 666 is 2.
1. What is the GCD of 756, 120, 332, 666?
GCD of given numbers 756, 120, 332, 666 is 2
2. How to calculate the greatest common divisor of 756, 120, 332, 666?
We can find the highest common divisor of 756, 120, 332, 666 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 756, 120, 332, 666 i.e 2.
3. How can I use the GCD of 756, 120, 332, 666Calculator?
Out the numbers 756, 120, 332, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.