Online GCD Calculator is useful to find the GCD of 768, 180, 886, 624 quickly. Get the easiest ways to solve the greatest common divisor of 768, 180, 886, 624 i.e 2 in different methods as follows.
Given Input numbers are 768, 180, 886, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 886 :
The positive integer divisors of 886 that completely divides 886 are.
1, 2, 443, 886
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (768, 180, 886, 624) = 2.
Given numbers are 768, 180, 886, 624
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 886 are 2 x 443
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 768, 180, 886, 624 is 2.
Given numbers are 768, 180, 886, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 180) = 11520
GCD(768, 180) = ( 768 x 180 ) / 11520
= 768 / 180
= 768
Step2:
LCM(12, 886) = 5316
GCD(12, 886) = ( 12 x 886 ) / 5316
= 12 / 886
= 12
Step3:
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
= 2 / 624
= 2
So, Greatest Common Divisor of 768, 180, 886, 624 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 180, 886, 624
The greatest common divisor of numbers 768, 180, 886, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 180, 886, 624 is 2.
1. What is the GCD of 768, 180, 886, 624?
GCD of given numbers 768, 180, 886, 624 is 2
2. How to calculate the greatest common divisor of 768, 180, 886, 624?
We can find the highest common divisor of 768, 180, 886, 624 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 768, 180, 886, 624 i.e 2.
3. How can I use the GCD of 768, 180, 886, 624Calculator?
Out the numbers 768, 180, 886, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.