Online GCD Calculator is useful to find the GCD of 315, 756, 812, 744 quickly. Get the easiest ways to solve the greatest common divisor of 315, 756, 812, 744 i.e 1 in different methods as follows.
Given Input numbers are 315, 756, 812, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (315, 756, 812, 744) = 1.
Given numbers are 315, 756, 812, 744
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 756, 812, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 756) = 3780
GCD(315, 756) = ( 315 x 756 ) / 3780
= 315 / 756
= 315
Step2:
LCM(63, 812) = 7308
GCD(63, 812) = ( 63 x 812 ) / 7308
= 63 / 812
= 63
Step3:
LCM(7, 744) = 5208
GCD(7, 744) = ( 7 x 744 ) / 5208
= 7 / 744
= 7
So, Greatest Common Divisor of 315, 756, 812, 744 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 756, 812, 744
The greatest common divisor of numbers 315, 756, 812, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 756, 812, 744 is 1.
1. What is the GCD of 315, 756, 812, 744?
GCD of given numbers 315, 756, 812, 744 is 1
2. How to calculate the greatest common divisor of 315, 756, 812, 744?
We can find the highest common divisor of 315, 756, 812, 744 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 315, 756, 812, 744 i.e 1.
3. How can I use the GCD of 315, 756, 812, 744Calculator?
Out the numbers 315, 756, 812, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.