Online GCD Calculator is useful to find the GCD of 678, 550, 308, 731 quickly. Get the easiest ways to solve the greatest common divisor of 678, 550, 308, 731 i.e 1 in different methods as follows.
Given Input numbers are 678, 550, 308, 731
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 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (678, 550, 308, 731) = 1.
Given numbers are 678, 550, 308, 731
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 550, 308, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 550) = 186450
GCD(678, 550) = ( 678 x 550 ) / 186450
= 678 / 550
= 678
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
So, Greatest Common Divisor of 678, 550, 308, 731 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 550, 308, 731
The greatest common divisor of numbers 678, 550, 308, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 550, 308, 731 is 1.
1. What is the GCD of 678, 550, 308, 731?
GCD of given numbers 678, 550, 308, 731 is 1
2. How to calculate the greatest common divisor of 678, 550, 308, 731?
We can find the highest common divisor of 678, 550, 308, 731 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, 550, 308, 731 i.e 1.
3. How can I use the GCD of 678, 550, 308, 731Calculator?
Out the numbers 678, 550, 308, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.