Online GCD Calculator is useful to find the GCD of 720, 286, 57, 756 quickly. Get the easiest ways to solve the greatest common divisor of 720, 286, 57, 756 i.e 1 in different methods as follows.
Given Input numbers are 720, 286, 57, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 57 :
The positive integer divisors of 57 that completely divides 57 are.
1, 3, 19, 57
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 (720, 286, 57, 756) = 1.
Given numbers are 720, 286, 57, 756
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 286 are 2 x 11 x 13
Prime factors of 57 are 3 x 19
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 286, 57, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 286) = 102960
GCD(720, 286) = ( 720 x 286 ) / 102960
= 720 / 286
= 720
Step2:
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
= 2 / 57
= 2
Step3:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
So, Greatest Common Divisor of 720, 286, 57, 756 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 286, 57, 756
The greatest common divisor of numbers 720, 286, 57, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 286, 57, 756 is 1.
1. What is the GCD of 720, 286, 57, 756?
GCD of given numbers 720, 286, 57, 756 is 1
2. How to calculate the greatest common divisor of 720, 286, 57, 756?
We can find the highest common divisor of 720, 286, 57, 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 720, 286, 57, 756 i.e 1.
3. How can I use the GCD of 720, 286, 57, 756Calculator?
Out the numbers 720, 286, 57, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.