GCD of 242, 276, 314, 231 Calculator

Given Input numbers are 242, 276, 314, 231

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (242, 276, 314, 231) = 1.

Given numbers are 242, 276, 314, 231

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 314 are 2 x 157

Prime factors of 231 are 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 242, 276, 314, 231

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

Apply this formula for all numbers.

Step1:

LCM(242, 276) = 33396

GCD(242, 276) = ( 242 x 276 ) / 33396

= 242 / 276

= 242

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2

So, Greatest Common Divisor of 242, 276, 314, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 555, 887, 531
• GCD of 661, 131, 297, 943
• GCD of 137, 481, 846, 568
• GCD of 422, 310, 240, 650
• GCD of 923, 999, 543, 458

Given numbers are 242, 276, 314, 231
The greatest common divisor of numbers 242, 276, 314, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 276, 314, 231 is 1.

1. What is the GCD of 242, 276, 314, 231?

GCD of given numbers 242, 276, 314, 231 is 1

2. How to calculate the greatest common divisor of 242, 276, 314, 231?

We can find the highest common divisor of 242, 276, 314, 231 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 242, 276, 314, 231 i.e 1.

3. How can I use the GCD of 242, 276, 314, 231Calculator?

Out the numbers 242, 276, 314, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.