Online GCD Calculator is useful to find the GCD of 198, 952, 670, 398 quickly. Get the easiest ways to solve the greatest common divisor of 198, 952, 670, 398 i.e 2 in different methods as follows.
Given Input numbers are 198, 952, 670, 398
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 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (198, 952, 670, 398) = 2.
Given numbers are 198, 952, 670, 398
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 670 are 2 x 5 x 67
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 198, 952, 670, 398 is 2.
Given numbers are 198, 952, 670, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 952) = 94248
GCD(198, 952) = ( 198 x 952 ) / 94248
= 198 / 952
= 198
Step2:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
Step3:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
So, Greatest Common Divisor of 198, 952, 670, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 952, 670, 398
The greatest common divisor of numbers 198, 952, 670, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 952, 670, 398 is 2.
1. What is the GCD of 198, 952, 670, 398?
GCD of given numbers 198, 952, 670, 398 is 2
2. How to calculate the greatest common divisor of 198, 952, 670, 398?
We can find the highest common divisor of 198, 952, 670, 398 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, 952, 670, 398 i.e 2.
3. How can I use the GCD of 198, 952, 670, 398Calculator?
Out the numbers 198, 952, 670, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.