GCD of 310, 412, 138, 199 Calculator

Given Input numbers are 310, 412, 138, 199

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

Divisors of 310 :

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

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (310, 412, 138, 199) = 1.

Given numbers are 310, 412, 138, 199

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 412 are 2 x 2 x 103

Prime factors of 138 are 2 x 3 x 23

Prime factors of 199 are 199

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

Given numbers are 310, 412, 138, 199

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

Apply this formula for all numbers.

Step1:

LCM(310, 412) = 63860

GCD(310, 412) = ( 310 x 412 ) / 63860

= 310 / 412

= 310

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

= 2 / 199

= 2

So, Greatest Common Divisor of 310, 412, 138, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 609, 131, 577
• GCD of 410, 950, 836, 314
• GCD of 713, 217, 951, 379
• GCD of 855, 685, 881, 941
• GCD of 167, 622, 626, 142

Given numbers are 310, 412, 138, 199
The greatest common divisor of numbers 310, 412, 138, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 412, 138, 199 is 1.

1. What is the GCD of 310, 412, 138, 199?

GCD of given numbers 310, 412, 138, 199 is 1

2. How to calculate the greatest common divisor of 310, 412, 138, 199?

We can find the highest common divisor of 310, 412, 138, 199 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 310, 412, 138, 199 i.e 1.

3. How can I use the GCD of 310, 412, 138, 199Calculator?

Out the numbers 310, 412, 138, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.