GCD of 312, 343, 357, 449 Calculator

Given Input numbers are 312, 343, 357, 449

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

GCD of numbers is the greatest common divisor

So, the GCD (312, 343, 357, 449) = 1.

Given numbers are 312, 343, 357, 449

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 343 are 7 x 7 x 7

Prime factors of 357 are 3 x 7 x 17

Prime factors of 449 are 449

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

Given numbers are 312, 343, 357, 449

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

Apply this formula for all numbers.

Step1:

LCM(312, 343) = 107016

GCD(312, 343) = ( 312 x 343 ) / 107016

= 312 / 343

= 312

Step2:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1

Step3:

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

= 1 / 449

= 1

So, Greatest Common Divisor of 312, 343, 357, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 147, 455, 701
• GCD of 261, 753, 397, 716
• GCD of 800, 894, 526, 516
• GCD of 322, 961, 125, 122
• GCD of 932, 601, 756, 463

Given numbers are 312, 343, 357, 449
The greatest common divisor of numbers 312, 343, 357, 449 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 343, 357, 449 is 1.

1. What is the GCD of 312, 343, 357, 449?

GCD of given numbers 312, 343, 357, 449 is 1

2. How to calculate the greatest common divisor of 312, 343, 357, 449?

We can find the highest common divisor of 312, 343, 357, 449 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 312, 343, 357, 449 i.e 1.

3. How can I use the GCD of 312, 343, 357, 449Calculator?

Out the numbers 312, 343, 357, 449 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.