GCD of 344, 214, 237, 131 Calculator

Given Input numbers are 344, 214, 237, 131

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (344, 214, 237, 131) = 1.

Given numbers are 344, 214, 237, 131

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 214 are 2 x 107

Prime factors of 237 are 3 x 79

Prime factors of 131 are 131

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

Given numbers are 344, 214, 237, 131

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

Apply this formula for all numbers.

Step1:

LCM(344, 214) = 36808

GCD(344, 214) = ( 344 x 214 ) / 36808

= 344 / 214

= 344

Step2:

LCM(2, 237) = 474

GCD(2, 237) = ( 2 x 237 ) / 474

= 2 / 237

= 2

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 344, 214, 237, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 607, 705, 555
• GCD of 652, 438, 811, 632
• GCD of 345, 461, 850, 414
• GCD of 566, 655, 642, 283
• GCD of 819, 478, 730, 109

Given numbers are 344, 214, 237, 131
The greatest common divisor of numbers 344, 214, 237, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 214, 237, 131 is 1.

1. What is the GCD of 344, 214, 237, 131?

GCD of given numbers 344, 214, 237, 131 is 1

2. How to calculate the greatest common divisor of 344, 214, 237, 131?

We can find the highest common divisor of 344, 214, 237, 131 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 344, 214, 237, 131 i.e 1.

3. How can I use the GCD of 344, 214, 237, 131Calculator?

Out the numbers 344, 214, 237, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.