GCD of 105, 380, 867, 337 Calculator

Given Input numbers are 105, 380, 867, 337

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

GCD of numbers is the greatest common divisor

So, the GCD (105, 380, 867, 337) = 1.

Given numbers are 105, 380, 867, 337

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 867 are 3 x 17 x 17

Prime factors of 337 are 337

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

Given numbers are 105, 380, 867, 337

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

Apply this formula for all numbers.

Step1:

LCM(105, 380) = 7980

GCD(105, 380) = ( 105 x 380 ) / 7980

= 105 / 380

= 105

Step2:

LCM(5, 867) = 4335

GCD(5, 867) = ( 5 x 867 ) / 4335

= 5 / 867

= 5

Step3:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1

So, Greatest Common Divisor of 105, 380, 867, 337 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 646, 269, 819
• GCD of 419, 960, 267, 549
• GCD of 671, 275, 283, 864
• GCD of 258, 390, 405, 308
• GCD of 656, 743, 440, 244

Given numbers are 105, 380, 867, 337
The greatest common divisor of numbers 105, 380, 867, 337 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 380, 867, 337 is 1.

1. What is the GCD of 105, 380, 867, 337?

GCD of given numbers 105, 380, 867, 337 is 1

2. How to calculate the greatest common divisor of 105, 380, 867, 337?

We can find the highest common divisor of 105, 380, 867, 337 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 105, 380, 867, 337 i.e 1.

3. How can I use the GCD of 105, 380, 867, 337Calculator?

Out the numbers 105, 380, 867, 337 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.