GCD of 273, 498, 276, 342 Calculator

Given Input numbers are 273, 498, 276, 342

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (273, 498, 276, 342) = 3.

Given numbers are 273, 498, 276, 342

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 273, 498, 276, 342 is 3.

Given numbers are 273, 498, 276, 342

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

Apply this formula for all numbers.

Step1:

LCM(273, 498) = 45318

GCD(273, 498) = ( 273 x 498 ) / 45318

= 273 / 498

= 273

Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 273, 498, 276, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 314, 389, 901
• GCD of 160, 780, 205, 268
• GCD of 315, 887, 138, 498
• GCD of 479, 723, 730, 546
• GCD of 932, 773, 116, 743

Given numbers are 273, 498, 276, 342
The greatest common divisor of numbers 273, 498, 276, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 498, 276, 342 is 3.

1. What is the GCD of 273, 498, 276, 342?

GCD of given numbers 273, 498, 276, 342 is 3

2. How to calculate the greatest common divisor of 273, 498, 276, 342?

We can find the highest common divisor of 273, 498, 276, 342 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, 498, 276, 342 i.e 3.

3. How can I use the GCD of 273, 498, 276, 342Calculator?

Out the numbers 273, 498, 276, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.