Online GCD Calculator is useful to find the GCD of 478, 496, 678, 315 quickly. Get the easiest ways to solve the greatest common divisor of 478, 496, 678, 315 i.e 1 in different methods as follows.
Given Input numbers are 478, 496, 678, 315
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (478, 496, 678, 315) = 1.
Given numbers are 478, 496, 678, 315
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 678 are 2 x 3 x 113
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 478, 496, 678, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 496) = 118544
GCD(478, 496) = ( 478 x 496 ) / 118544
= 478 / 496
= 478
Step2:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
Step3:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
So, Greatest Common Divisor of 478, 496, 678, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 496, 678, 315
The greatest common divisor of numbers 478, 496, 678, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 496, 678, 315 is 1.
1. What is the GCD of 478, 496, 678, 315?
GCD of given numbers 478, 496, 678, 315 is 1
2. How to calculate the greatest common divisor of 478, 496, 678, 315?
We can find the highest common divisor of 478, 496, 678, 315 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, 496, 678, 315 i.e 1.
3. How can I use the GCD of 478, 496, 678, 315Calculator?
Out the numbers 478, 496, 678, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.