GCD of 249, 696, 666, 336 Calculator

Given Input numbers are 249, 696, 666, 336

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (249, 696, 666, 336) = 3.

Given numbers are 249, 696, 666, 336

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 249, 696, 666, 336 is 3.

Given numbers are 249, 696, 666, 336

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

Apply this formula for all numbers.

Step1:

LCM(249, 696) = 57768

GCD(249, 696) = ( 249 x 696 ) / 57768

= 249 / 696

= 249

Step2:

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

= 3 / 666

= 3

Step3:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

So, Greatest Common Divisor of 249, 696, 666, 336 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 902, 408, 444
• GCD of 262, 459, 456, 141
• GCD of 642, 876, 824, 312
• GCD of 137, 416, 739, 682
• GCD of 309, 918, 816, 520

Given numbers are 249, 696, 666, 336
The greatest common divisor of numbers 249, 696, 666, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 696, 666, 336 is 3.

1. What is the GCD of 249, 696, 666, 336?

GCD of given numbers 249, 696, 666, 336 is 3

2. How to calculate the greatest common divisor of 249, 696, 666, 336?

We can find the highest common divisor of 249, 696, 666, 336 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 249, 696, 666, 336 i.e 3.

3. How can I use the GCD of 249, 696, 666, 336Calculator?

Out the numbers 249, 696, 666, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.