GCD of 831, 705, 984, 210 Calculator

Given Input numbers are 831, 705, 984, 210

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (831, 705, 984, 210) = 3.

Given numbers are 831, 705, 984, 210

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 705 are 3 x 5 x 47

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 831, 705, 984, 210 is 3.

Given numbers are 831, 705, 984, 210

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

Apply this formula for all numbers.

Step1:

LCM(831, 705) = 195285

GCD(831, 705) = ( 831 x 705 ) / 195285

= 831 / 705

= 831

Step2:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

Step3:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

So, Greatest Common Divisor of 831, 705, 984, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 792, 626, 446
• GCD of 561, 929, 570, 233
• GCD of 207, 536, 503, 556
• GCD of 778, 752, 209, 534
• GCD of 769, 990, 753, 417

Given numbers are 831, 705, 984, 210
The greatest common divisor of numbers 831, 705, 984, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 705, 984, 210 is 3.

1. What is the GCD of 831, 705, 984, 210?

GCD of given numbers 831, 705, 984, 210 is 3

2. How to calculate the greatest common divisor of 831, 705, 984, 210?

We can find the highest common divisor of 831, 705, 984, 210 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 831, 705, 984, 210 i.e 3.

3. How can I use the GCD of 831, 705, 984, 210Calculator?

Out the numbers 831, 705, 984, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.