Online GCD Calculator is useful to find the GCD of 800, 116, 616, 476 quickly. Get the easiest ways to solve the greatest common divisor of 800, 116, 616, 476 i.e 4 in different methods as follows.
Given Input numbers are 800, 116, 616, 476
In the factoring method, we have to find the divisors of all numbers
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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
GCD of numbers is the greatest common divisor
So, the GCD (800, 116, 616, 476) = 4.
Given numbers are 800, 116, 616, 476
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 116 are 2 x 2 x 29
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 476 are 2 x 2 x 7 x 17
The highest common occurrence is 22
Therefore, GCD of 800, 116, 616, 476 is 4.
Given numbers are 800, 116, 616, 476
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 116) = 23200
GCD(800, 116) = ( 800 x 116 ) / 23200
= 800 / 116
= 800
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
Step3:
LCM(4, 476) = 476
GCD(4, 476) = ( 4 x 476 ) / 476
= 4 / 476
= 4
So, Greatest Common Divisor of 800, 116, 616, 476 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 116, 616, 476
The greatest common divisor of numbers 800, 116, 616, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 116, 616, 476 is 4.
1. What is the GCD of 800, 116, 616, 476?
GCD of given numbers 800, 116, 616, 476 is 4
2. How to calculate the greatest common divisor of 800, 116, 616, 476?
We can find the highest common divisor of 800, 116, 616, 476 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 800, 116, 616, 476 i.e 4.
3. How can I use the GCD of 800, 116, 616, 476Calculator?
Out the numbers 800, 116, 616, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.