GCD of 300, 343, 494, 311 Calculator

Given Input numbers are 300, 343, 494, 311

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (300, 343, 494, 311) = 1.

Given numbers are 300, 343, 494, 311

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 343 are 7 x 7 x 7

Prime factors of 494 are 2 x 13 x 19

Prime factors of 311 are 311

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

Given numbers are 300, 343, 494, 311

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

Apply this formula for all numbers.

Step1:

LCM(300, 343) = 102900

GCD(300, 343) = ( 300 x 343 ) / 102900

= 300 / 343

= 300

Step2:

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

= 1 / 494

= 1

Step3:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1

So, Greatest Common Divisor of 300, 343, 494, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 150, 759, 656
• GCD of 285, 948, 276, 729
• GCD of 290, 861, 587, 615
• GCD of 425, 365, 427, 755
• GCD of 821, 446, 797, 534

Given numbers are 300, 343, 494, 311
The greatest common divisor of numbers 300, 343, 494, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 343, 494, 311 is 1.

1. What is the GCD of 300, 343, 494, 311?

GCD of given numbers 300, 343, 494, 311 is 1

2. How to calculate the greatest common divisor of 300, 343, 494, 311?

We can find the highest common divisor of 300, 343, 494, 311 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 300, 343, 494, 311 i.e 1.

3. How can I use the GCD of 300, 343, 494, 311Calculator?

Out the numbers 300, 343, 494, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.