Online GCD Calculator is useful to find the GCD of 720, 558, 516, 152 quickly. Get the easiest ways to solve the greatest common divisor of 720, 558, 516, 152 i.e 2 in different methods as follows.
Given Input numbers are 720, 558, 516, 152
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 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (720, 558, 516, 152) = 2.
Given numbers are 720, 558, 516, 152
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 558 are 2 x 3 x 3 x 31
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 152 are 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 720, 558, 516, 152 is 2.
Given numbers are 720, 558, 516, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 558) = 22320
GCD(720, 558) = ( 720 x 558 ) / 22320
= 720 / 558
= 720
Step2:
LCM(18, 516) = 1548
GCD(18, 516) = ( 18 x 516 ) / 1548
= 18 / 516
= 18
Step3:
LCM(6, 152) = 456
GCD(6, 152) = ( 6 x 152 ) / 456
= 6 / 152
= 6
So, Greatest Common Divisor of 720, 558, 516, 152 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 558, 516, 152
The greatest common divisor of numbers 720, 558, 516, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 558, 516, 152 is 2.
1. What is the GCD of 720, 558, 516, 152?
GCD of given numbers 720, 558, 516, 152 is 2
2. How to calculate the greatest common divisor of 720, 558, 516, 152?
We can find the highest common divisor of 720, 558, 516, 152 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, 558, 516, 152 i.e 2.
3. How can I use the GCD of 720, 558, 516, 152Calculator?
Out the numbers 720, 558, 516, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.