GCD of 849, 381, 852 Calculator

Given Input numbers are 849, 381, 852

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 381 :

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

1, 3, 127, 381

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

GCD of numbers is the greatest common divisor

So, the GCD (849, 381, 852) = 3.

Given numbers are 849, 381, 852

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 381 are 3 x 127

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

The highest common occurrence is 3¹

Therefore, GCD of 849, 381, 852 is 3.

Given numbers are 849, 381, 852

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

Apply this formula for all numbers.

Step1:

LCM(849, 381) = 107823

GCD(849, 381) = ( 849 x 381 ) / 107823

= 849 / 381

= 849

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 849, 381, 852 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 662, 453
• GCD of 705, 682, 774
• GCD of 745, 478, 127
• GCD of 679, 396, 105
• GCD of 239, 253, 144

Given numbers are 849, 381, 852
The greatest common divisor of numbers 849, 381, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 381, 852 is 3.

1. What is the GCD of 849, 381, 852?

GCD of given numbers 849, 381, 852 is 3

2. How to calculate the greatest common divisor of 849, 381, 852?

We can find the highest common divisor of 849, 381, 852 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 849, 381, 852 i.e 3.

3. How can I use the GCD of 849, 381, 852Calculator?

Out the numbers 849, 381, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.