GCD of 114, 289, 172, 331 Calculator

Given Input numbers are 114, 289, 172, 331

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (114, 289, 172, 331) = 1.

Given numbers are 114, 289, 172, 331

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 289 are 17 x 17

Prime factors of 172 are 2 x 2 x 43

Prime factors of 331 are 331

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

Given numbers are 114, 289, 172, 331

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

Apply this formula for all numbers.

Step1:

LCM(114, 289) = 32946

GCD(114, 289) = ( 114 x 289 ) / 32946

= 114 / 289

= 114

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

So, Greatest Common Divisor of 114, 289, 172, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 137, 809, 598
• GCD of 518, 609, 859, 194
• GCD of 167, 917, 788, 715
• GCD of 280, 690, 558, 572
• GCD of 640, 500, 892, 637

Given numbers are 114, 289, 172, 331
The greatest common divisor of numbers 114, 289, 172, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 289, 172, 331 is 1.

1. What is the GCD of 114, 289, 172, 331?

GCD of given numbers 114, 289, 172, 331 is 1

2. How to calculate the greatest common divisor of 114, 289, 172, 331?

We can find the highest common divisor of 114, 289, 172, 331 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 114, 289, 172, 331 i.e 1.

3. How can I use the GCD of 114, 289, 172, 331Calculator?

Out the numbers 114, 289, 172, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.