GCD of 831, 663, 993, 642 Calculator

Given Input numbers are 831, 663, 993, 642

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (831, 663, 993, 642) = 3.

Given numbers are 831, 663, 993, 642

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 663 are 3 x 13 x 17

Prime factors of 993 are 3 x 331

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 831, 663, 993, 642 is 3.

Given numbers are 831, 663, 993, 642

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

Apply this formula for all numbers.

Step1:

LCM(831, 663) = 183651

GCD(831, 663) = ( 831 x 663 ) / 183651

= 831 / 663

= 831

Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

Step3:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

So, Greatest Common Divisor of 831, 663, 993, 642 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 207, 559, 989
• GCD of 610, 905, 254, 418
• GCD of 921, 701, 396, 464
• GCD of 310, 211, 136, 186
• GCD of 321, 394, 804, 319

Given numbers are 831, 663, 993, 642
The greatest common divisor of numbers 831, 663, 993, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 663, 993, 642 is 3.

1. What is the GCD of 831, 663, 993, 642?

GCD of given numbers 831, 663, 993, 642 is 3

2. How to calculate the greatest common divisor of 831, 663, 993, 642?

We can find the highest common divisor of 831, 663, 993, 642 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, 663, 993, 642 i.e 3.

3. How can I use the GCD of 831, 663, 993, 642Calculator?

Out the numbers 831, 663, 993, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.