GCD of 348, 614, 668, 378 Calculator

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.

• GCD of 927, 991, 284, 615
• GCD of 482, 660, 264, 514
• GCD of 960, 600, 263, 850
• GCD of 905, 354, 872, 353
• GCD of 254, 970, 998, 189

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.