GCD of 873, 399, 846, 378 Calculator

Given Input numbers are 873, 399, 846, 378

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (873, 399, 846, 378) = 3.

Given numbers are 873, 399, 846, 378

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 399 are 3 x 7 x 19

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 873, 399, 846, 378 is 3.

Given numbers are 873, 399, 846, 378

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

Apply this formula for all numbers.

Step1:

LCM(873, 399) = 116109

GCD(873, 399) = ( 873 x 399 ) / 116109

= 873 / 399

= 873

Step2:

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

= 3 / 846

= 3

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 873, 399, 846, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 819, 828, 374
• GCD of 149, 769, 427, 603
• GCD of 950, 938, 935, 248
• GCD of 842, 170, 730, 206
• GCD of 719, 834, 627, 944

Given numbers are 873, 399, 846, 378
The greatest common divisor of numbers 873, 399, 846, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 399, 846, 378 is 3.

1. What is the GCD of 873, 399, 846, 378?

GCD of given numbers 873, 399, 846, 378 is 3

2. How to calculate the greatest common divisor of 873, 399, 846, 378?

We can find the highest common divisor of 873, 399, 846, 378 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 873, 399, 846, 378 i.e 3.

3. How can I use the GCD of 873, 399, 846, 378Calculator?

Out the numbers 873, 399, 846, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.