GCD of 231, 345, 276, 303 Calculator

Given Input numbers are 231, 345, 276, 303

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (231, 345, 276, 303) = 3.

Given numbers are 231, 345, 276, 303

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 231, 345, 276, 303 is 3.

Given numbers are 231, 345, 276, 303

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

Apply this formula for all numbers.

Step1:

LCM(231, 345) = 26565

GCD(231, 345) = ( 231 x 345 ) / 26565

= 231 / 345

= 231

Step2:

LCM(3, 276) = 276

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

= 3 / 276

= 3

Step3:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

So, Greatest Common Divisor of 231, 345, 276, 303 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 995, 205, 451
• GCD of 665, 210, 987, 917
• GCD of 779, 719, 971, 953
• GCD of 698, 175, 868, 470
• GCD of 299, 594, 359, 631

Given numbers are 231, 345, 276, 303
The greatest common divisor of numbers 231, 345, 276, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 345, 276, 303 is 3.

1. What is the GCD of 231, 345, 276, 303?

GCD of given numbers 231, 345, 276, 303 is 3

2. How to calculate the greatest common divisor of 231, 345, 276, 303?

We can find the highest common divisor of 231, 345, 276, 303 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 231, 345, 276, 303 i.e 3.

3. How can I use the GCD of 231, 345, 276, 303Calculator?

Out the numbers 231, 345, 276, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.