GCD of 126, 180, 699, 288 Calculator

Given Input numbers are 126, 180, 699, 288

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 699 :

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

1, 3, 233, 699

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (126, 180, 699, 288) = 3.

Given numbers are 126, 180, 699, 288

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 699 are 3 x 233

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 126, 180, 699, 288 is 3.

Given numbers are 126, 180, 699, 288

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

Apply this formula for all numbers.

Step1:

LCM(126, 180) = 1260

GCD(126, 180) = ( 126 x 180 ) / 1260

= 126 / 180

= 126

Step2:

LCM(18, 699) = 4194

GCD(18, 699) = ( 18 x 699 ) / 4194

= 18 / 699

= 18

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 126, 180, 699, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 932, 775, 350
• GCD of 793, 184, 781, 669
• GCD of 492, 499, 465, 295
• GCD of 887, 376, 914, 258
• GCD of 368, 998, 541, 723

Given numbers are 126, 180, 699, 288
The greatest common divisor of numbers 126, 180, 699, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 180, 699, 288 is 3.

1. What is the GCD of 126, 180, 699, 288?

GCD of given numbers 126, 180, 699, 288 is 3

2. How to calculate the greatest common divisor of 126, 180, 699, 288?

We can find the highest common divisor of 126, 180, 699, 288 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 126, 180, 699, 288 i.e 3.

3. How can I use the GCD of 126, 180, 699, 288Calculator?

Out the numbers 126, 180, 699, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.