GCD of 398, 464, 476, 310 Calculator

Given Input numbers are 398, 464, 476, 310

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 (398, 464, 476, 310) = 2.

Given numbers are 398, 464, 476, 310

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 398, 464, 476, 310 is 2.

Given numbers are 398, 464, 476, 310

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

Apply this formula for all numbers.

Step1:

LCM(398, 464) = 92336

GCD(398, 464) = ( 398 x 464 ) / 92336

= 398 / 464

= 398

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 398, 464, 476, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 827, 711, 650
• GCD of 822, 301, 938, 952
• GCD of 308, 501, 350, 326
• GCD of 967, 193, 500, 506
• GCD of 220, 949, 723, 735

Given numbers are 398, 464, 476, 310
The greatest common divisor of numbers 398, 464, 476, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 464, 476, 310 is 2.

1. What is the GCD of 398, 464, 476, 310?

GCD of given numbers 398, 464, 476, 310 is 2

2. How to calculate the greatest common divisor of 398, 464, 476, 310?

We can find the highest common divisor of 398, 464, 476, 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 398, 464, 476, 310 i.e 2.

3. How can I use the GCD of 398, 464, 476, 310Calculator?

Out the numbers 398, 464, 476, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.