Online GCD Calculator is useful to find the GCD of 398, 632, 242 quickly. Get the easiest ways to solve the greatest common divisor of 398, 632, 242 i.e 2 in different methods as follows.
Given Input numbers are 398, 632, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (398, 632, 242) = 2.
Given numbers are 398, 632, 242
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 398, 632, 242 is 2.
Given numbers are 398, 632, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 632) = 125768
GCD(398, 632) = ( 398 x 632 ) / 125768
= 398 / 632
= 398
Step2:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
So, Greatest Common Divisor of 398, 632, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 632, 242
The greatest common divisor of numbers 398, 632, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 632, 242 is 2.
1. What is the GCD of 398, 632, 242?
GCD of given numbers 398, 632, 242 is 2
2. How to calculate the greatest common divisor of 398, 632, 242?
We can find the highest common divisor of 398, 632, 242 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 398, 632, 242 i.e 2.
3. How can I use the GCD of 398, 632, 242Calculator?
Out the numbers 398, 632, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.