GCD of 831, 966, 963, 507 Calculator

Given Input numbers are 831, 966, 963, 507

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (831, 966, 963, 507) = 3.

Given numbers are 831, 966, 963, 507

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 963 are 3 x 3 x 107

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 831, 966, 963, 507 is 3.

Given numbers are 831, 966, 963, 507

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

Apply this formula for all numbers.

Step1:

LCM(831, 966) = 267582

GCD(831, 966) = ( 831 x 966 ) / 267582

= 831 / 966

= 831

Step2:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

Step3:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

So, Greatest Common Divisor of 831, 966, 963, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 969, 984, 624
• GCD of 725, 223, 210, 531
• GCD of 758, 631, 631, 942
• GCD of 853, 919, 191, 707
• GCD of 470, 630, 499, 486

Given numbers are 831, 966, 963, 507
The greatest common divisor of numbers 831, 966, 963, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 966, 963, 507 is 3.

1. What is the GCD of 831, 966, 963, 507?

GCD of given numbers 831, 966, 963, 507 is 3

2. How to calculate the greatest common divisor of 831, 966, 963, 507?

We can find the highest common divisor of 831, 966, 963, 507 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, 966, 963, 507 i.e 3.

3. How can I use the GCD of 831, 966, 963, 507Calculator?

Out the numbers 831, 966, 963, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.