GCD of 378, 314, 771, 398 Calculator

Given Input numbers are 378, 314, 771, 398

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (378, 314, 771, 398) = 1.

Given numbers are 378, 314, 771, 398

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 314 are 2 x 157

Prime factors of 771 are 3 x 257

Prime factors of 398 are 2 x 199

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

Given numbers are 378, 314, 771, 398

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

Apply this formula for all numbers.

Step1:

LCM(378, 314) = 59346

GCD(378, 314) = ( 378 x 314 ) / 59346

= 378 / 314

= 378

Step2:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 378, 314, 771, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 809, 741, 734
• GCD of 819, 468, 379, 183
• GCD of 579, 382, 853, 561
• GCD of 837, 154, 323, 585
• GCD of 115, 369, 417, 366

Given numbers are 378, 314, 771, 398
The greatest common divisor of numbers 378, 314, 771, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 314, 771, 398 is 1.

1. What is the GCD of 378, 314, 771, 398?

GCD of given numbers 378, 314, 771, 398 is 1

2. How to calculate the greatest common divisor of 378, 314, 771, 398?

We can find the highest common divisor of 378, 314, 771, 398 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, 314, 771, 398 i.e 1.

3. How can I use the GCD of 378, 314, 771, 398Calculator?

Out the numbers 378, 314, 771, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.