GCD of 378, 340, 854, 346 Calculator

Given Input numbers are 378, 340, 854, 346

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

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

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (378, 340, 854, 346) = 2.

Given numbers are 378, 340, 854, 346

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 378, 340, 854, 346 is 2.

Given numbers are 378, 340, 854, 346

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

Apply this formula for all numbers.

Step1:

LCM(378, 340) = 64260

GCD(378, 340) = ( 378 x 340 ) / 64260

= 378 / 340

= 378

Step2:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

Step3:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

So, Greatest Common Divisor of 378, 340, 854, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 637, 253, 963, 153
• GCD of 223, 794, 123, 301
• GCD of 973, 427, 742, 188
• GCD of 222, 691, 605, 324
• GCD of 784, 299, 575, 263

Given numbers are 378, 340, 854, 346
The greatest common divisor of numbers 378, 340, 854, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 340, 854, 346 is 2.

1. What is the GCD of 378, 340, 854, 346?

GCD of given numbers 378, 340, 854, 346 is 2

2. How to calculate the greatest common divisor of 378, 340, 854, 346?

We can find the highest common divisor of 378, 340, 854, 346 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 378, 340, 854, 346 i.e 2.

3. How can I use the GCD of 378, 340, 854, 346Calculator?

Out the numbers 378, 340, 854, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.