GCD of 273, 282, 738, 798 Calculator

Given Input numbers are 273, 282, 738, 798

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (273, 282, 738, 798) = 3.

Given numbers are 273, 282, 738, 798

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 273, 282, 738, 798 is 3.

Given numbers are 273, 282, 738, 798

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

Apply this formula for all numbers.

Step1:

LCM(273, 282) = 25662

GCD(273, 282) = ( 273 x 282 ) / 25662

= 273 / 282

= 273

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 273, 282, 738, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 834, 825, 744
• GCD of 158, 565, 335, 779
• GCD of 785, 992, 455, 240
• GCD of 229, 648, 260, 779
• GCD of 449, 976, 387, 419

Given numbers are 273, 282, 738, 798
The greatest common divisor of numbers 273, 282, 738, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 282, 738, 798 is 3.

1. What is the GCD of 273, 282, 738, 798?

GCD of given numbers 273, 282, 738, 798 is 3

2. How to calculate the greatest common divisor of 273, 282, 738, 798?

We can find the highest common divisor of 273, 282, 738, 798 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 273, 282, 738, 798 i.e 3.

3. How can I use the GCD of 273, 282, 738, 798Calculator?

Out the numbers 273, 282, 738, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.