Online GCD Calculator is useful to find the GCD of 720, 512, 916, 276 quickly. Get the easiest ways to solve the greatest common divisor of 720, 512, 916, 276 i.e 4 in different methods as follows.
Given Input numbers are 720, 512, 916, 276
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 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
GCD of numbers is the greatest common divisor
So, the GCD (720, 512, 916, 276) = 4.
Given numbers are 720, 512, 916, 276
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 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 916 are 2 x 2 x 229
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 720, 512, 916, 276 is 4.
Given numbers are 720, 512, 916, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 512) = 23040
GCD(720, 512) = ( 720 x 512 ) / 23040
= 720 / 512
= 720
Step2:
LCM(16, 916) = 3664
GCD(16, 916) = ( 16 x 916 ) / 3664
= 16 / 916
= 16
Step3:
LCM(4, 276) = 276
GCD(4, 276) = ( 4 x 276 ) / 276
= 4 / 276
= 4
So, Greatest Common Divisor of 720, 512, 916, 276 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 512, 916, 276
The greatest common divisor of numbers 720, 512, 916, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 512, 916, 276 is 4.
1. What is the GCD of 720, 512, 916, 276?
GCD of given numbers 720, 512, 916, 276 is 4
2. How to calculate the greatest common divisor of 720, 512, 916, 276?
We can find the highest common divisor of 720, 512, 916, 276 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, 512, 916, 276 i.e 4.
3. How can I use the GCD of 720, 512, 916, 276Calculator?
Out the numbers 720, 512, 916, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.