GCD of 488, 418, 24, 343 Calculator

Given Input numbers are 488, 418, 24, 343

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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 (488, 418, 24, 343) = 1.

Given numbers are 488, 418, 24, 343

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 418 are 2 x 11 x 19

Prime factors of 24 are 2 x 2 x 2 x 3

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 488, 418, 24, 343

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

Apply this formula for all numbers.

Step1:

LCM(488, 418) = 101992

GCD(488, 418) = ( 488 x 418 ) / 101992

= 488 / 418

= 488

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 488, 418, 24, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 821, 94, 244
• GCD of 195, 406, 50, 558
• GCD of 591, 205, 79, 167
• GCD of 487, 357, 11, 752
• GCD of 648, 750, 52, 449

Given numbers are 488, 418, 24, 343
The greatest common divisor of numbers 488, 418, 24, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 418, 24, 343 is 1.

1. What is the GCD of 488, 418, 24, 343?

GCD of given numbers 488, 418, 24, 343 is 1

2. How to calculate the greatest common divisor of 488, 418, 24, 343?

We can find the highest common divisor of 488, 418, 24, 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 488, 418, 24, 343 i.e 1.

3. How can I use the GCD of 488, 418, 24, 343Calculator?

Out the numbers 488, 418, 24, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.