GCD of 423, 493, 392, 343 Calculator

Given Input numbers are 423, 493, 392, 343

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (423, 493, 392, 343) = 1.

Given numbers are 423, 493, 392, 343

The list of prime factors of all numbers are

Prime factors of 423 are 3 x 3 x 47

Prime factors of 493 are 17 x 29

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 423, 493, 392, 343

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

Apply this formula for all numbers.

Step1:

LCM(423, 493) = 208539

GCD(423, 493) = ( 423 x 493 ) / 208539

= 423 / 493

= 423

Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 423, 493, 392, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 434, 440, 267
• GCD of 368, 992, 227, 331
• GCD of 579, 489, 407, 989
• GCD of 562, 984, 683, 807
• GCD of 794, 517, 597, 549

Given numbers are 423, 493, 392, 343
The greatest common divisor of numbers 423, 493, 392, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 493, 392, 343 is 1.

1. What is the GCD of 423, 493, 392, 343?

GCD of given numbers 423, 493, 392, 343 is 1

2. How to calculate the greatest common divisor of 423, 493, 392, 343?

We can find the highest common divisor of 423, 493, 392, 343 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 423, 493, 392, 343 i.e 1.

3. How can I use the GCD of 423, 493, 392, 343Calculator?

Out the numbers 423, 493, 392, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.