GCD of 144, 243, 678, 699 Calculator

Given Input numbers are 144, 243, 678, 699

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 699 :

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

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (144, 243, 678, 699) = 3.

Given numbers are 144, 243, 678, 699

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 144, 243, 678, 699 is 3.

Given numbers are 144, 243, 678, 699

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

Apply this formula for all numbers.

Step1:

LCM(144, 243) = 3888

GCD(144, 243) = ( 144 x 243 ) / 3888

= 144 / 243

= 144

Step2:

LCM(9, 678) = 2034

GCD(9, 678) = ( 9 x 678 ) / 2034

= 9 / 678

= 9

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 144, 243, 678, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 935, 138, 226
• GCD of 151, 753, 574, 330
• GCD of 676, 238, 905, 609
• GCD of 319, 136, 733, 778
• GCD of 762, 681, 102, 474

Given numbers are 144, 243, 678, 699
The greatest common divisor of numbers 144, 243, 678, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 243, 678, 699 is 3.

1. What is the GCD of 144, 243, 678, 699?

GCD of given numbers 144, 243, 678, 699 is 3

2. How to calculate the greatest common divisor of 144, 243, 678, 699?

We can find the highest common divisor of 144, 243, 678, 699 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 144, 243, 678, 699 i.e 3.

3. How can I use the GCD of 144, 243, 678, 699Calculator?

Out the numbers 144, 243, 678, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.