Online GCD Calculator is useful to find the GCD of 200, 500, 180, 602 quickly. Get the easiest ways to solve the greatest common divisor of 200, 500, 180, 602 i.e 2 in different methods as follows.
Given Input numbers are 200, 500, 180, 602
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 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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
GCD of numbers is the greatest common divisor
So, the GCD (200, 500, 180, 602) = 2.
Given numbers are 200, 500, 180, 602
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 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 602 are 2 x 7 x 43
The highest common occurrence is 21
Therefore, GCD of 200, 500, 180, 602 is 2.
Given numbers are 200, 500, 180, 602
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 500) = 1000
GCD(200, 500) = ( 200 x 500 ) / 1000
= 200 / 500
= 200
Step2:
LCM(100, 180) = 900
GCD(100, 180) = ( 100 x 180 ) / 900
= 100 / 180
= 100
Step3:
LCM(20, 602) = 6020
GCD(20, 602) = ( 20 x 602 ) / 6020
= 20 / 602
= 20
So, Greatest Common Divisor of 200, 500, 180, 602 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 500, 180, 602
The greatest common divisor of numbers 200, 500, 180, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 500, 180, 602 is 2.
1. What is the GCD of 200, 500, 180, 602?
GCD of given numbers 200, 500, 180, 602 is 2
2. How to calculate the greatest common divisor of 200, 500, 180, 602?
We can find the highest common divisor of 200, 500, 180, 602 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, 500, 180, 602 i.e 2.
3. How can I use the GCD of 200, 500, 180, 602Calculator?
Out the numbers 200, 500, 180, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.