GCD of 343, 384, 974, 484 Calculator

Given Input numbers are 343, 384, 974, 484

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (343, 384, 974, 484) = 1.

Given numbers are 343, 384, 974, 484

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 974 are 2 x 487

Prime factors of 484 are 2 x 2 x 11 x 11

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

Given numbers are 343, 384, 974, 484

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

Apply this formula for all numbers.

Step1:

LCM(343, 384) = 131712

GCD(343, 384) = ( 343 x 384 ) / 131712

= 343 / 384

= 343

Step2:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

So, Greatest Common Divisor of 343, 384, 974, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 792, 772, 878
• GCD of 250, 466, 192, 458
• GCD of 156, 904, 561, 344
• GCD of 195, 861, 844, 146
• GCD of 872, 582, 892, 658

Given numbers are 343, 384, 974, 484
The greatest common divisor of numbers 343, 384, 974, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 384, 974, 484 is 1.

1. What is the GCD of 343, 384, 974, 484?

GCD of given numbers 343, 384, 974, 484 is 1

2. How to calculate the greatest common divisor of 343, 384, 974, 484?

We can find the highest common divisor of 343, 384, 974, 484 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 343, 384, 974, 484 i.e 1.

3. How can I use the GCD of 343, 384, 974, 484Calculator?

Out the numbers 343, 384, 974, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.