Online GCD Calculator is useful to find the GCD of 428, 468, 864, 756 quickly. Get the easiest ways to solve the greatest common divisor of 428, 468, 864, 756 i.e 4 in different methods as follows.
Given Input numbers are 428, 468, 864, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 468, 864, 756) = 4.
Given numbers are 428, 468, 864, 756
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 428, 468, 864, 756 is 4.
Given numbers are 428, 468, 864, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 468) = 50076
GCD(428, 468) = ( 428 x 468 ) / 50076
= 428 / 468
= 428
Step2:
LCM(4, 864) = 864
GCD(4, 864) = ( 4 x 864 ) / 864
= 4 / 864
= 4
Step3:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
So, Greatest Common Divisor of 428, 468, 864, 756 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 468, 864, 756
The greatest common divisor of numbers 428, 468, 864, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 468, 864, 756 is 4.
1. What is the GCD of 428, 468, 864, 756?
GCD of given numbers 428, 468, 864, 756 is 4
2. How to calculate the greatest common divisor of 428, 468, 864, 756?
We can find the highest common divisor of 428, 468, 864, 756 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 428, 468, 864, 756 i.e 4.
3. How can I use the GCD of 428, 468, 864, 756Calculator?
Out the numbers 428, 468, 864, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.