Online GCD Calculator is useful to find the GCD of 348, 614, 668, 378 quickly. Get the easiest ways to solve the greatest common divisor of 348, 614, 668, 378 i.e 2 in different methods as follows.
Given Input numbers are 348, 614, 668, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
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
GCD of numbers is the greatest common divisor
So, the GCD (348, 614, 668, 378) = 2.
Given numbers are 348, 614, 668, 378
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 614 are 2 x 307
Prime factors of 668 are 2 x 2 x 167
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 348, 614, 668, 378 is 2.
Given numbers are 348, 614, 668, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 614) = 106836
GCD(348, 614) = ( 348 x 614 ) / 106836
= 348 / 614
= 348
Step2:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 348, 614, 668, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 614, 668, 378
The greatest common divisor of numbers 348, 614, 668, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 614, 668, 378 is 2.
1. What is the GCD of 348, 614, 668, 378?
GCD of given numbers 348, 614, 668, 378 is 2
2. How to calculate the greatest common divisor of 348, 614, 668, 378?
We can find the highest common divisor of 348, 614, 668, 378 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 348, 614, 668, 378 i.e 2.
3. How can I use the GCD of 348, 614, 668, 378Calculator?
Out the numbers 348, 614, 668, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.