GCD of 738, 288, 906, 639 Calculator

Given Input numbers are 738, 288, 906, 639

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

GCD of numbers is the greatest common divisor

So, the GCD (738, 288, 906, 639) = 3.

Given numbers are 738, 288, 906, 639

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

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

Prime factors of 906 are 2 x 3 x 151

Prime factors of 639 are 3 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 738, 288, 906, 639 is 3.

Given numbers are 738, 288, 906, 639

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

Apply this formula for all numbers.

Step1:

LCM(738, 288) = 11808

GCD(738, 288) = ( 738 x 288 ) / 11808

= 738 / 288

= 738

Step2:

LCM(18, 906) = 2718

GCD(18, 906) = ( 18 x 906 ) / 2718

= 18 / 906

= 18

Step3:

LCM(6, 639) = 1278

GCD(6, 639) = ( 6 x 639 ) / 1278

= 6 / 639

= 6

So, Greatest Common Divisor of 738, 288, 906, 639 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 887, 201, 609
• GCD of 362, 710, 622, 670
• GCD of 366, 806, 433, 797
• GCD of 991, 384, 455, 371
• GCD of 723, 759, 340, 922

Given numbers are 738, 288, 906, 639
The greatest common divisor of numbers 738, 288, 906, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 288, 906, 639 is 3.

1. What is the GCD of 738, 288, 906, 639?

GCD of given numbers 738, 288, 906, 639 is 3

2. How to calculate the greatest common divisor of 738, 288, 906, 639?

We can find the highest common divisor of 738, 288, 906, 639 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 738, 288, 906, 639 i.e 3.

3. How can I use the GCD of 738, 288, 906, 639Calculator?

Out the numbers 738, 288, 906, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.