GCD of 852, 381, 411 Calculator

Given Input numbers are 852, 381, 411

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 381 :

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

1, 3, 127, 381

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

GCD of numbers is the greatest common divisor

So, the GCD (852, 381, 411) = 3.

Given numbers are 852, 381, 411

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 381 are 3 x 127

Prime factors of 411 are 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 852, 381, 411 is 3.

Given numbers are 852, 381, 411

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

Apply this formula for all numbers.

Step1:

LCM(852, 381) = 108204

GCD(852, 381) = ( 852 x 381 ) / 108204

= 852 / 381

= 852

Step2:

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

= 3 / 411

= 3

So, Greatest Common Divisor of 852, 381, 411 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 407, 458
• GCD of 443, 402, 230
• GCD of 404, 511, 882
• GCD of 216, 732, 825
• GCD of 903, 686, 404

Given numbers are 852, 381, 411
The greatest common divisor of numbers 852, 381, 411 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 381, 411 is 3.

1. What is the GCD of 852, 381, 411?

GCD of given numbers 852, 381, 411 is 3

2. How to calculate the greatest common divisor of 852, 381, 411?

We can find the highest common divisor of 852, 381, 411 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 852, 381, 411 i.e 3.

3. How can I use the GCD of 852, 381, 411Calculator?

Out the numbers 852, 381, 411 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.