Online GCD Calculator is useful to find the GCD of 756, 864, 372, 495 quickly. Get the easiest ways to solve the greatest common divisor of 756, 864, 372, 495 i.e 3 in different methods as follows.
Given Input numbers are 756, 864, 372, 495
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 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 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
GCD of numbers is the greatest common divisor
So, the GCD (756, 864, 372, 495) = 3.
Given numbers are 756, 864, 372, 495
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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 495 are 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 756, 864, 372, 495 is 3.
Given numbers are 756, 864, 372, 495
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 864) = 6048
GCD(756, 864) = ( 756 x 864 ) / 6048
= 756 / 864
= 756
Step2:
LCM(108, 372) = 3348
GCD(108, 372) = ( 108 x 372 ) / 3348
= 108 / 372
= 108
Step3:
LCM(12, 495) = 1980
GCD(12, 495) = ( 12 x 495 ) / 1980
= 12 / 495
= 12
So, Greatest Common Divisor of 756, 864, 372, 495 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 864, 372, 495
The greatest common divisor of numbers 756, 864, 372, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 864, 372, 495 is 3.
1. What is the GCD of 756, 864, 372, 495?
GCD of given numbers 756, 864, 372, 495 is 3
2. How to calculate the greatest common divisor of 756, 864, 372, 495?
We can find the highest common divisor of 756, 864, 372, 495 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, 864, 372, 495 i.e 3.
3. How can I use the GCD of 756, 864, 372, 495Calculator?
Out the numbers 756, 864, 372, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.