Online GCD Calculator is useful to find the GCD of 200, 812, 192, 628 quickly. Get the easiest ways to solve the greatest common divisor of 200, 812, 192, 628 i.e 4 in different methods as follows.
Given Input numbers are 200, 812, 192, 628
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 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (200, 812, 192, 628) = 4.
Given numbers are 200, 812, 192, 628
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 812 are 2 x 2 x 7 x 29
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 22
Therefore, GCD of 200, 812, 192, 628 is 4.
Given numbers are 200, 812, 192, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 812) = 40600
GCD(200, 812) = ( 200 x 812 ) / 40600
= 200 / 812
= 200
Step2:
LCM(4, 192) = 192
GCD(4, 192) = ( 4 x 192 ) / 192
= 4 / 192
= 4
Step3:
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
= 4 / 628
= 4
So, Greatest Common Divisor of 200, 812, 192, 628 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 812, 192, 628
The greatest common divisor of numbers 200, 812, 192, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 812, 192, 628 is 4.
1. What is the GCD of 200, 812, 192, 628?
GCD of given numbers 200, 812, 192, 628 is 4
2. How to calculate the greatest common divisor of 200, 812, 192, 628?
We can find the highest common divisor of 200, 812, 192, 628 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, 812, 192, 628 i.e 4.
3. How can I use the GCD of 200, 812, 192, 628Calculator?
Out the numbers 200, 812, 192, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.