Online GCD Calculator is useful to find the GCD of 200, 280, 596 quickly. Get the easiest ways to solve the greatest common divisor of 200, 280, 596 i.e 4 in different methods as follows.
Given Input numbers are 200, 280, 596
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
GCD of numbers is the greatest common divisor
So, the GCD (200, 280, 596) = 4.
Given numbers are 200, 280, 596
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 596 are 2 x 2 x 149
The highest common occurrence is 22
Therefore, GCD of 200, 280, 596 is 4.
Given numbers are 200, 280, 596
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 280) = 1400
GCD(200, 280) = ( 200 x 280 ) / 1400
= 200 / 280
= 200
Step2:
LCM(40, 596) = 5960
GCD(40, 596) = ( 40 x 596 ) / 5960
= 40 / 596
= 40
So, Greatest Common Divisor of 200, 280, 596 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 280, 596
The greatest common divisor of numbers 200, 280, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 280, 596 is 4.
1. What is the GCD of 200, 280, 596?
GCD of given numbers 200, 280, 596 is 4
2. How to calculate the greatest common divisor of 200, 280, 596?
We can find the highest common divisor of 200, 280, 596 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 200, 280, 596 i.e 4.
3. How can I use the GCD of 200, 280, 596Calculator?
Out the numbers 200, 280, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.