Online GCD Calculator is useful to find the GCD of 756, 723, 682, 496 quickly. Get the easiest ways to solve the greatest common divisor of 756, 723, 682, 496 i.e 1 in different methods as follows.
Given Input numbers are 756, 723, 682, 496
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 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (756, 723, 682, 496) = 1.
Given numbers are 756, 723, 682, 496
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 723 are 3 x 241
Prime factors of 682 are 2 x 11 x 31
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 723, 682, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 723) = 182196
GCD(756, 723) = ( 756 x 723 ) / 182196
= 756 / 723
= 756
Step2:
LCM(3, 682) = 2046
GCD(3, 682) = ( 3 x 682 ) / 2046
= 3 / 682
= 3
Step3:
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
= 1 / 496
= 1
So, Greatest Common Divisor of 756, 723, 682, 496 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 723, 682, 496
The greatest common divisor of numbers 756, 723, 682, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 723, 682, 496 is 1.
1. What is the GCD of 756, 723, 682, 496?
GCD of given numbers 756, 723, 682, 496 is 1
2. How to calculate the greatest common divisor of 756, 723, 682, 496?
We can find the highest common divisor of 756, 723, 682, 496 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, 723, 682, 496 i.e 1.
3. How can I use the GCD of 756, 723, 682, 496Calculator?
Out the numbers 756, 723, 682, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.