GCD of 385, 120, 284, 814 Calculator

Given Input numbers are 385, 120, 284, 814

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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 (385, 120, 284, 814) = 1.

Given numbers are 385, 120, 284, 814

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 284 are 2 x 2 x 71

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 385, 120, 284, 814

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

Apply this formula for all numbers.

Step1:

LCM(385, 120) = 9240

GCD(385, 120) = ( 385 x 120 ) / 9240

= 385 / 120

= 385

Step2:

LCM(5, 284) = 1420

GCD(5, 284) = ( 5 x 284 ) / 1420

= 5 / 284

= 5

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 385, 120, 284, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 949, 433, 847
• GCD of 165, 336, 443, 811
• GCD of 820, 407, 122, 954
• GCD of 112, 381, 542, 268
• GCD of 933, 144, 314, 695

Given numbers are 385, 120, 284, 814
The greatest common divisor of numbers 385, 120, 284, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 120, 284, 814 is 1.

1. What is the GCD of 385, 120, 284, 814?

GCD of given numbers 385, 120, 284, 814 is 1

2. How to calculate the greatest common divisor of 385, 120, 284, 814?

We can find the highest common divisor of 385, 120, 284, 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 385, 120, 284, 814 i.e 1.

3. How can I use the GCD of 385, 120, 284, 814Calculator?

Out the numbers 385, 120, 284, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.