Online GCD Calculator is useful to find the GCD of 380, 144, 440, 414 quickly. Get the easiest ways to solve the greatest common divisor of 380, 144, 440, 414 i.e 2 in different methods as follows.
Given Input numbers are 380, 144, 440, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (380, 144, 440, 414) = 2.
Given numbers are 380, 144, 440, 414
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 380, 144, 440, 414 is 2.
Given numbers are 380, 144, 440, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 144) = 13680
GCD(380, 144) = ( 380 x 144 ) / 13680
= 380 / 144
= 380
Step2:
LCM(4, 440) = 440
GCD(4, 440) = ( 4 x 440 ) / 440
= 4 / 440
= 4
Step3:
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
= 4 / 414
= 4
So, Greatest Common Divisor of 380, 144, 440, 414 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 144, 440, 414
The greatest common divisor of numbers 380, 144, 440, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 144, 440, 414 is 2.
1. What is the GCD of 380, 144, 440, 414?
GCD of given numbers 380, 144, 440, 414 is 2
2. How to calculate the greatest common divisor of 380, 144, 440, 414?
We can find the highest common divisor of 380, 144, 440, 414 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 380, 144, 440, 414 i.e 2.
3. How can I use the GCD of 380, 144, 440, 414Calculator?
Out the numbers 380, 144, 440, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.