Online GCD Calculator is useful to find the GCD of 588, 800, 476, 516 quickly. Get the easiest ways to solve the greatest common divisor of 588, 800, 476, 516 i.e 4 in different methods as follows.
Given Input numbers are 588, 800, 476, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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
GCD of numbers is the greatest common divisor
So, the GCD (588, 800, 476, 516) = 4.
Given numbers are 588, 800, 476, 516
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 22
Therefore, GCD of 588, 800, 476, 516 is 4.
Given numbers are 588, 800, 476, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 800) = 117600
GCD(588, 800) = ( 588 x 800 ) / 117600
= 588 / 800
= 588
Step2:
LCM(4, 476) = 476
GCD(4, 476) = ( 4 x 476 ) / 476
= 4 / 476
= 4
Step3:
LCM(4, 516) = 516
GCD(4, 516) = ( 4 x 516 ) / 516
= 4 / 516
= 4
So, Greatest Common Divisor of 588, 800, 476, 516 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 800, 476, 516
The greatest common divisor of numbers 588, 800, 476, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 800, 476, 516 is 4.
1. What is the GCD of 588, 800, 476, 516?
GCD of given numbers 588, 800, 476, 516 is 4
2. How to calculate the greatest common divisor of 588, 800, 476, 516?
We can find the highest common divisor of 588, 800, 476, 516 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 588, 800, 476, 516 i.e 4.
3. How can I use the GCD of 588, 800, 476, 516Calculator?
Out the numbers 588, 800, 476, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.