Online GCD Calculator is useful to find the GCD of 800, 232, 392, 552 quickly. Get the easiest ways to solve the greatest common divisor of 800, 232, 392, 552 i.e 8 in different methods as follows.
Given Input numbers are 800, 232, 392, 552
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 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (800, 232, 392, 552) = 8.
Given numbers are 800, 232, 392, 552
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 232 are 2 x 2 x 2 x 29
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 23
Therefore, GCD of 800, 232, 392, 552 is 8.
Given numbers are 800, 232, 392, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 232) = 23200
GCD(800, 232) = ( 800 x 232 ) / 23200
= 800 / 232
= 800
Step2:
LCM(8, 392) = 392
GCD(8, 392) = ( 8 x 392 ) / 392
= 8 / 392
= 8
Step3:
LCM(8, 552) = 552
GCD(8, 552) = ( 8 x 552 ) / 552
= 8 / 552
= 8
So, Greatest Common Divisor of 800, 232, 392, 552 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 232, 392, 552
The greatest common divisor of numbers 800, 232, 392, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 232, 392, 552 is 8.
1. What is the GCD of 800, 232, 392, 552?
GCD of given numbers 800, 232, 392, 552 is 8
2. How to calculate the greatest common divisor of 800, 232, 392, 552?
We can find the highest common divisor of 800, 232, 392, 552 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, 232, 392, 552 i.e 8.
3. How can I use the GCD of 800, 232, 392, 552Calculator?
Out the numbers 800, 232, 392, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.