GCD of 105, 143, 381 Calculator

Given Input numbers are 105, 143, 381

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (105, 143, 381) = 1.

Given numbers are 105, 143, 381

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 143 are 11 x 13

Prime factors of 381 are 3 x 127

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

Given numbers are 105, 143, 381

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

Apply this formula for all numbers.

Step1:

LCM(105, 143) = 15015

GCD(105, 143) = ( 105 x 143 ) / 15015

= 105 / 143

= 105

Step2:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

So, Greatest Common Divisor of 105, 143, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 592, 814
• GCD of 645, 511, 795
• GCD of 902, 177, 112
• GCD of 643, 470, 366
• GCD of 462, 821, 846

Given numbers are 105, 143, 381
The greatest common divisor of numbers 105, 143, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 143, 381 is 1.

1. What is the GCD of 105, 143, 381?

GCD of given numbers 105, 143, 381 is 1

2. How to calculate the greatest common divisor of 105, 143, 381?

We can find the highest common divisor of 105, 143, 381 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, 143, 381 i.e 1.

3. How can I use the GCD of 105, 143, 381Calculator?

Out the numbers 105, 143, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.