GCD of 966, 261, 309, 507 Calculator

Given Input numbers are 966, 261, 309, 507

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

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (966, 261, 309, 507) = 3.

Given numbers are 966, 261, 309, 507

The list of prime factors of all numbers are

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

Prime factors of 261 are 3 x 3 x 29

Prime factors of 309 are 3 x 103

Prime factors of 507 are 3 x 13 x 13

The highest common occurrence is 3¹

Therefore, GCD of 966, 261, 309, 507 is 3.

Given numbers are 966, 261, 309, 507

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

Apply this formula for all numbers.

Step1:

LCM(966, 261) = 84042

GCD(966, 261) = ( 966 x 261 ) / 84042

= 966 / 261

= 966

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 507) = 507

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

= 3 / 507

= 3

So, Greatest Common Divisor of 966, 261, 309, 507 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 120, 914, 311
• GCD of 631, 382, 529, 556
• GCD of 888, 818, 758, 524
• GCD of 563, 924, 481, 594
• GCD of 217, 871, 894, 264

Given numbers are 966, 261, 309, 507
The greatest common divisor of numbers 966, 261, 309, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 261, 309, 507 is 3.

1. What is the GCD of 966, 261, 309, 507?

GCD of given numbers 966, 261, 309, 507 is 3

2. How to calculate the greatest common divisor of 966, 261, 309, 507?

We can find the highest common divisor of 966, 261, 309, 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 966, 261, 309, 507 i.e 3.

3. How can I use the GCD of 966, 261, 309, 507Calculator?

Out the numbers 966, 261, 309, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.