GCD of 137, 437, 214, 310 Calculator

Given Input numbers are 137, 437, 214, 310

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (137, 437, 214, 310) = 1.

Given numbers are 137, 437, 214, 310

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 437 are 19 x 23

Prime factors of 214 are 2 x 107

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 137, 437, 214, 310

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

Apply this formula for all numbers.

Step1:

LCM(137, 437) = 59869

GCD(137, 437) = ( 137 x 437 ) / 59869

= 137 / 437

= 137

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 137, 437, 214, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 485, 718, 710
• GCD of 565, 299, 293, 241
• GCD of 561, 688, 568, 355
• GCD of 860, 459, 556, 582
• GCD of 130, 891, 322, 866

Given numbers are 137, 437, 214, 310
The greatest common divisor of numbers 137, 437, 214, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 437, 214, 310 is 1.

1. What is the GCD of 137, 437, 214, 310?

GCD of given numbers 137, 437, 214, 310 is 1

2. How to calculate the greatest common divisor of 137, 437, 214, 310?

We can find the highest common divisor of 137, 437, 214, 310 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 137, 437, 214, 310 i.e 1.

3. How can I use the GCD of 137, 437, 214, 310Calculator?

Out the numbers 137, 437, 214, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.