Online GCD Calculator is useful to find the GCD of 452, 936, 500, 800 quickly. Get the easiest ways to solve the greatest common divisor of 452, 936, 500, 800 i.e 4 in different methods as follows.
Given Input numbers are 452, 936, 500, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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
GCD of numbers is the greatest common divisor
So, the GCD (452, 936, 500, 800) = 4.
Given numbers are 452, 936, 500, 800
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 452, 936, 500, 800 is 4.
Given numbers are 452, 936, 500, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 936) = 105768
GCD(452, 936) = ( 452 x 936 ) / 105768
= 452 / 936
= 452
Step2:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
Step3:
LCM(4, 800) = 800
GCD(4, 800) = ( 4 x 800 ) / 800
= 4 / 800
= 4
So, Greatest Common Divisor of 452, 936, 500, 800 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 936, 500, 800
The greatest common divisor of numbers 452, 936, 500, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 936, 500, 800 is 4.
1. What is the GCD of 452, 936, 500, 800?
GCD of given numbers 452, 936, 500, 800 is 4
2. How to calculate the greatest common divisor of 452, 936, 500, 800?
We can find the highest common divisor of 452, 936, 500, 800 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 452, 936, 500, 800 i.e 4.
3. How can I use the GCD of 452, 936, 500, 800Calculator?
Out the numbers 452, 936, 500, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.