Online GCD Calculator is useful to find the GCD of 398, 660, 144, 350 quickly. Get the easiest ways to solve the greatest common divisor of 398, 660, 144, 350 i.e 2 in different methods as follows.
Given Input numbers are 398, 660, 144, 350
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (398, 660, 144, 350) = 2.
Given numbers are 398, 660, 144, 350
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 398, 660, 144, 350 is 2.
Given numbers are 398, 660, 144, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 660) = 131340
GCD(398, 660) = ( 398 x 660 ) / 131340
= 398 / 660
= 398
Step2:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
Step3:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
So, Greatest Common Divisor of 398, 660, 144, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 660, 144, 350
The greatest common divisor of numbers 398, 660, 144, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 660, 144, 350 is 2.
1. What is the GCD of 398, 660, 144, 350?
GCD of given numbers 398, 660, 144, 350 is 2
2. How to calculate the greatest common divisor of 398, 660, 144, 350?
We can find the highest common divisor of 398, 660, 144, 350 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, 660, 144, 350 i.e 2.
3. How can I use the GCD of 398, 660, 144, 350Calculator?
Out the numbers 398, 660, 144, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.