Online GCD Calculator is useful to find the GCD of 800, 142, 536, 224 quickly. Get the easiest ways to solve the greatest common divisor of 800, 142, 536, 224 i.e 2 in different methods as follows.
Given Input numbers are 800, 142, 536, 224
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (800, 142, 536, 224) = 2.
Given numbers are 800, 142, 536, 224
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 142 are 2 x 71
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 800, 142, 536, 224 is 2.
Given numbers are 800, 142, 536, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 142) = 56800
GCD(800, 142) = ( 800 x 142 ) / 56800
= 800 / 142
= 800
Step2:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
Step3:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 800, 142, 536, 224 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 142, 536, 224
The greatest common divisor of numbers 800, 142, 536, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 142, 536, 224 is 2.
1. What is the GCD of 800, 142, 536, 224?
GCD of given numbers 800, 142, 536, 224 is 2
2. How to calculate the greatest common divisor of 800, 142, 536, 224?
We can find the highest common divisor of 800, 142, 536, 224 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, 142, 536, 224 i.e 2.
3. How can I use the GCD of 800, 142, 536, 224Calculator?
Out the numbers 800, 142, 536, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.