Online GCD Calculator is useful to find the GCD of 200, 142, 574, 108 quickly. Get the easiest ways to solve the greatest common divisor of 200, 142, 574, 108 i.e 2 in different methods as follows.
Given Input numbers are 200, 142, 574, 108
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (200, 142, 574, 108) = 2.
Given numbers are 200, 142, 574, 108
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 142 are 2 x 71
Prime factors of 574 are 2 x 7 x 41
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 200, 142, 574, 108 is 2.
Given numbers are 200, 142, 574, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 142) = 14200
GCD(200, 142) = ( 200 x 142 ) / 14200
= 200 / 142
= 200
Step2:
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
= 2 / 574
= 2
Step3:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
So, Greatest Common Divisor of 200, 142, 574, 108 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 142, 574, 108
The greatest common divisor of numbers 200, 142, 574, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 142, 574, 108 is 2.
1. What is the GCD of 200, 142, 574, 108?
GCD of given numbers 200, 142, 574, 108 is 2
2. How to calculate the greatest common divisor of 200, 142, 574, 108?
We can find the highest common divisor of 200, 142, 574, 108 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, 142, 574, 108 i.e 2.
3. How can I use the GCD of 200, 142, 574, 108Calculator?
Out the numbers 200, 142, 574, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.