Online GCD Calculator is useful to find the GCD of 678, 298, 144, 320 quickly. Get the easiest ways to solve the greatest common divisor of 678, 298, 144, 320 i.e 2 in different methods as follows.
Given Input numbers are 678, 298, 144, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (678, 298, 144, 320) = 2.
Given numbers are 678, 298, 144, 320
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 298 are 2 x 149
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 678, 298, 144, 320 is 2.
Given numbers are 678, 298, 144, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 298) = 101022
GCD(678, 298) = ( 678 x 298 ) / 101022
= 678 / 298
= 678
Step2:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
Step3:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 678, 298, 144, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 298, 144, 320
The greatest common divisor of numbers 678, 298, 144, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 298, 144, 320 is 2.
1. What is the GCD of 678, 298, 144, 320?
GCD of given numbers 678, 298, 144, 320 is 2
2. How to calculate the greatest common divisor of 678, 298, 144, 320?
We can find the highest common divisor of 678, 298, 144, 320 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 678, 298, 144, 320 i.e 2.
3. How can I use the GCD of 678, 298, 144, 320Calculator?
Out the numbers 678, 298, 144, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.