GCD of 344, 351, 378, 919 Calculator

Given Input numbers are 344, 351, 378, 919

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

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 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

GCD of numbers is the greatest common divisor

So, the GCD (344, 351, 378, 919) = 1.

Given numbers are 344, 351, 378, 919

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 351 are 3 x 3 x 3 x 13

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

Prime factors of 919 are 919

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 344, 351, 378, 919

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

Apply this formula for all numbers.

Step1:

LCM(344, 351) = 120744

GCD(344, 351) = ( 344 x 351 ) / 120744

= 344 / 351

= 344

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

= 1 / 919

= 1

So, Greatest Common Divisor of 344, 351, 378, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 794, 414, 266
• GCD of 812, 421, 724, 374
• GCD of 543, 264, 989, 316
• GCD of 528, 663, 894, 303
• GCD of 207, 877, 362, 264

Given numbers are 344, 351, 378, 919
The greatest common divisor of numbers 344, 351, 378, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 351, 378, 919 is 1.

1. What is the GCD of 344, 351, 378, 919?

GCD of given numbers 344, 351, 378, 919 is 1

2. How to calculate the greatest common divisor of 344, 351, 378, 919?

We can find the highest common divisor of 344, 351, 378, 919 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 344, 351, 378, 919 i.e 1.

3. How can I use the GCD of 344, 351, 378, 919Calculator?

Out the numbers 344, 351, 378, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.