Online GCD Calculator is useful to find the GCD of 198, 750, 472, 932 quickly. Get the easiest ways to solve the greatest common divisor of 198, 750, 472, 932 i.e 2 in different methods as follows.
Given Input numbers are 198, 750, 472, 932
In the factoring method, we have to find the divisors of all numbers
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
GCD of numbers is the greatest common divisor
So, the GCD (198, 750, 472, 932) = 2.
Given numbers are 198, 750, 472, 932
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 932 are 2 x 2 x 233
The highest common occurrence is 21
Therefore, GCD of 198, 750, 472, 932 is 2.
Given numbers are 198, 750, 472, 932
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 750) = 24750
GCD(198, 750) = ( 198 x 750 ) / 24750
= 198 / 750
= 198
Step2:
LCM(6, 472) = 1416
GCD(6, 472) = ( 6 x 472 ) / 1416
= 6 / 472
= 6
Step3:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
So, Greatest Common Divisor of 198, 750, 472, 932 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 750, 472, 932
The greatest common divisor of numbers 198, 750, 472, 932 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 750, 472, 932 is 2.
1. What is the GCD of 198, 750, 472, 932?
GCD of given numbers 198, 750, 472, 932 is 2
2. How to calculate the greatest common divisor of 198, 750, 472, 932?
We can find the highest common divisor of 198, 750, 472, 932 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 198, 750, 472, 932 i.e 2.
3. How can I use the GCD of 198, 750, 472, 932Calculator?
Out the numbers 198, 750, 472, 932 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.