Online GCD Calculator is useful to find the GCD of 900, 398, 668, 200 quickly. Get the easiest ways to solve the greatest common divisor of 900, 398, 668, 200 i.e 2 in different methods as follows.
Given Input numbers are 900, 398, 668, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
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
GCD of numbers is the greatest common divisor
So, the GCD (900, 398, 668, 200) = 2.
Given numbers are 900, 398, 668, 200
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 398 are 2 x 199
Prime factors of 668 are 2 x 2 x 167
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 900, 398, 668, 200 is 2.
Given numbers are 900, 398, 668, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 398) = 179100
GCD(900, 398) = ( 900 x 398 ) / 179100
= 900 / 398
= 900
Step2:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 900, 398, 668, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 398, 668, 200
The greatest common divisor of numbers 900, 398, 668, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 398, 668, 200 is 2.
1. What is the GCD of 900, 398, 668, 200?
GCD of given numbers 900, 398, 668, 200 is 2
2. How to calculate the greatest common divisor of 900, 398, 668, 200?
We can find the highest common divisor of 900, 398, 668, 200 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 900, 398, 668, 200 i.e 2.
3. How can I use the GCD of 900, 398, 668, 200Calculator?
Out the numbers 900, 398, 668, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.