GCD of 392, 340, 678 Calculator

Given Input numbers are 392, 340, 678

In the factoring method, we have to find the divisors of all numbers

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (392, 340, 678) = 2.

Given numbers are 392, 340, 678

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 392, 340, 678 is 2.

Given numbers are 392, 340, 678

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(392, 340) = 33320

GCD(392, 340) = ( 392 x 340 ) / 33320

= 392 / 340

= 392

Step2:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

So, Greatest Common Divisor of 392, 340, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 214, 230
• GCD of 443, 951, 844
• GCD of 881, 667, 971
• GCD of 196, 925, 945
• GCD of 924, 781, 606

Given numbers are 392, 340, 678
The greatest common divisor of numbers 392, 340, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 340, 678 is 2.

1. What is the GCD of 392, 340, 678?

GCD of given numbers 392, 340, 678 is 2

2. How to calculate the greatest common divisor of 392, 340, 678?

We can find the highest common divisor of 392, 340, 678 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 392, 340, 678 i.e 2.

3. How can I use the GCD of 392, 340, 678Calculator?

Out the numbers 392, 340, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.