Online GCD Calculator is useful to find the GCD of 756, 231, 510, 960 quickly. Get the easiest ways to solve the greatest common divisor of 756, 231, 510, 960 i.e 3 in different methods as follows.
Given Input numbers are 756, 231, 510, 960
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 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (756, 231, 510, 960) = 3.
Given numbers are 756, 231, 510, 960
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 231 are 3 x 7 x 11
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 756, 231, 510, 960 is 3.
Given numbers are 756, 231, 510, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 231) = 8316
GCD(756, 231) = ( 756 x 231 ) / 8316
= 756 / 231
= 756
Step2:
LCM(21, 510) = 3570
GCD(21, 510) = ( 21 x 510 ) / 3570
= 21 / 510
= 21
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 756, 231, 510, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 231, 510, 960
The greatest common divisor of numbers 756, 231, 510, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 231, 510, 960 is 3.
1. What is the GCD of 756, 231, 510, 960?
GCD of given numbers 756, 231, 510, 960 is 3
2. How to calculate the greatest common divisor of 756, 231, 510, 960?
We can find the highest common divisor of 756, 231, 510, 960 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, 231, 510, 960 i.e 3.
3. How can I use the GCD of 756, 231, 510, 960Calculator?
Out the numbers 756, 231, 510, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.