GCD of 288, 378, 732, 138 Calculator

Given Input numbers are 288, 378, 732, 138

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (288, 378, 732, 138) = 6.

Given numbers are 288, 378, 732, 138

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 288, 378, 732, 138 is 6.

Given numbers are 288, 378, 732, 138

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

Apply this formula for all numbers.

Step1:

LCM(288, 378) = 6048

GCD(288, 378) = ( 288 x 378 ) / 6048

= 288 / 378

= 288

Step2:

LCM(18, 732) = 2196

GCD(18, 732) = ( 18 x 732 ) / 2196

= 18 / 732

= 18

Step3:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

So, Greatest Common Divisor of 288, 378, 732, 138 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 228, 547, 484
• GCD of 523, 369, 437, 602
• GCD of 347, 428, 121, 370
• GCD of 467, 394, 245, 620
• GCD of 978, 841, 786, 201

Given numbers are 288, 378, 732, 138
The greatest common divisor of numbers 288, 378, 732, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 378, 732, 138 is 6.

1. What is the GCD of 288, 378, 732, 138?

GCD of given numbers 288, 378, 732, 138 is 6

2. How to calculate the greatest common divisor of 288, 378, 732, 138?

We can find the highest common divisor of 288, 378, 732, 138 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 288, 378, 732, 138 i.e 6.

3. How can I use the GCD of 288, 378, 732, 138Calculator?

Out the numbers 288, 378, 732, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.