GCD of 249, 696, 873, 351 Calculator

Given Input numbers are 249, 696, 873, 351

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 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (249, 696, 873, 351) = 3.

Given numbers are 249, 696, 873, 351

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 873 are 3 x 3 x 97

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 249, 696, 873, 351 is 3.

Given numbers are 249, 696, 873, 351

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, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 249, 696, 873, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 842, 382, 399
• GCD of 323, 186, 727, 478
• GCD of 974, 278, 383, 109
• GCD of 181, 573, 808, 800
• GCD of 156, 317, 837, 487

Given numbers are 249, 696, 873, 351
The greatest common divisor of numbers 249, 696, 873, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 696, 873, 351 is 3.

1. What is the GCD of 249, 696, 873, 351?

GCD of given numbers 249, 696, 873, 351 is 3

2. How to calculate the greatest common divisor of 249, 696, 873, 351?

We can find the highest common divisor of 249, 696, 873, 351 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, 873, 351 i.e 3.

3. How can I use the GCD of 249, 696, 873, 351Calculator?

Out the numbers 249, 696, 873, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.