Online GCD Calculator is useful to find the GCD of 536, 802, 986, 720 quickly. Get the easiest ways to solve the greatest common divisor of 536, 802, 986, 720 i.e 2 in different methods as follows.
Given Input numbers are 536, 802, 986, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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
GCD of numbers is the greatest common divisor
So, the GCD (536, 802, 986, 720) = 2.
Given numbers are 536, 802, 986, 720
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 802 are 2 x 401
Prime factors of 986 are 2 x 17 x 29
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 536, 802, 986, 720 is 2.
Given numbers are 536, 802, 986, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 802) = 214936
GCD(536, 802) = ( 536 x 802 ) / 214936
= 536 / 802
= 536
Step2:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 536, 802, 986, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 802, 986, 720
The greatest common divisor of numbers 536, 802, 986, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 802, 986, 720 is 2.
1. What is the GCD of 536, 802, 986, 720?
GCD of given numbers 536, 802, 986, 720 is 2
2. How to calculate the greatest common divisor of 536, 802, 986, 720?
We can find the highest common divisor of 536, 802, 986, 720 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 536, 802, 986, 720 i.e 2.
3. How can I use the GCD of 536, 802, 986, 720Calculator?
Out the numbers 536, 802, 986, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.