GCD of 370, 386, 814 Calculator

Given Input numbers are 370, 386, 814

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (370, 386, 814) = 2.

Given numbers are 370, 386, 814

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 386 are 2 x 193

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 370, 386, 814 is 2.

Given numbers are 370, 386, 814

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

Apply this formula for all numbers.

Step1:

LCM(370, 386) = 71410

GCD(370, 386) = ( 370 x 386 ) / 71410

= 370 / 386

= 370

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 370, 386, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 333, 889
• GCD of 972, 477, 452
• GCD of 763, 982, 819
• GCD of 469, 870, 799
• GCD of 147, 744, 364

Given numbers are 370, 386, 814
The greatest common divisor of numbers 370, 386, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 386, 814 is 2.

1. What is the GCD of 370, 386, 814?

GCD of given numbers 370, 386, 814 is 2

2. How to calculate the greatest common divisor of 370, 386, 814?

We can find the highest common divisor of 370, 386, 814 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 370, 386, 814 i.e 2.

3. How can I use the GCD of 370, 386, 814Calculator?

Out the numbers 370, 386, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.