Online GCD Calculator is useful to find the GCD of 478, 378, 102, 446 quickly. Get the easiest ways to solve the greatest common divisor of 478, 378, 102, 446 i.e 2 in different methods as follows.
Given Input numbers are 478, 378, 102, 446
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (478, 378, 102, 446) = 2.
Given numbers are 478, 378, 102, 446
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 102 are 2 x 3 x 17
Prime factors of 446 are 2 x 223
The highest common occurrence is 21
Therefore, GCD of 478, 378, 102, 446 is 2.
Given numbers are 478, 378, 102, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 378) = 90342
GCD(478, 378) = ( 478 x 378 ) / 90342
= 478 / 378
= 478
Step2:
LCM(2, 102) = 102
GCD(2, 102) = ( 2 x 102 ) / 102
= 2 / 102
= 2
Step3:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
So, Greatest Common Divisor of 478, 378, 102, 446 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 378, 102, 446
The greatest common divisor of numbers 478, 378, 102, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 378, 102, 446 is 2.
1. What is the GCD of 478, 378, 102, 446?
GCD of given numbers 478, 378, 102, 446 is 2
2. How to calculate the greatest common divisor of 478, 378, 102, 446?
We can find the highest common divisor of 478, 378, 102, 446 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 478, 378, 102, 446 i.e 2.
3. How can I use the GCD of 478, 378, 102, 446Calculator?
Out the numbers 478, 378, 102, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.