GCD of 642, 924, 699, 249 Calculator

Given Input numbers are 642, 924, 699, 249

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

Divisors of 642 :

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

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 249 :

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

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (642, 924, 699, 249) = 3.

Given numbers are 642, 924, 699, 249

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 699 are 3 x 233

Prime factors of 249 are 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 642, 924, 699, 249 is 3.

Given numbers are 642, 924, 699, 249

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

Apply this formula for all numbers.

Step1:

LCM(642, 924) = 98868

GCD(642, 924) = ( 642 x 924 ) / 98868

= 642 / 924

= 642

Step2:

LCM(6, 699) = 1398

GCD(6, 699) = ( 6 x 699 ) / 1398

= 6 / 699

= 6

Step3:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

So, Greatest Common Divisor of 642, 924, 699, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 880, 114, 139
• GCD of 729, 816, 221, 304
• GCD of 710, 240, 771, 171
• GCD of 747, 395, 572, 644
• GCD of 905, 802, 192, 244

Given numbers are 642, 924, 699, 249
The greatest common divisor of numbers 642, 924, 699, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 924, 699, 249 is 3.

1. What is the GCD of 642, 924, 699, 249?

GCD of given numbers 642, 924, 699, 249 is 3

2. How to calculate the greatest common divisor of 642, 924, 699, 249?

We can find the highest common divisor of 642, 924, 699, 249 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 642, 924, 699, 249 i.e 3.

3. How can I use the GCD of 642, 924, 699, 249Calculator?

Out the numbers 642, 924, 699, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.