GCD of 343, 284, 493, 402 Calculator

Given Input numbers are 343, 284, 493, 402

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (343, 284, 493, 402) = 1.

Given numbers are 343, 284, 493, 402

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 284 are 2 x 2 x 71

Prime factors of 493 are 17 x 29

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 343, 284, 493, 402

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

Apply this formula for all numbers.

Step1:

LCM(343, 284) = 97412

GCD(343, 284) = ( 343 x 284 ) / 97412

= 343 / 284

= 343

Step2:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 343, 284, 493, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 562, 863, 847
• GCD of 124, 564, 502, 305
• GCD of 901, 607, 807, 366
• GCD of 325, 448, 920, 438
• GCD of 574, 886, 587, 383

Given numbers are 343, 284, 493, 402
The greatest common divisor of numbers 343, 284, 493, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 284, 493, 402 is 1.

1. What is the GCD of 343, 284, 493, 402?

GCD of given numbers 343, 284, 493, 402 is 1

2. How to calculate the greatest common divisor of 343, 284, 493, 402?

We can find the highest common divisor of 343, 284, 493, 402 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, 284, 493, 402 i.e 1.

3. How can I use the GCD of 343, 284, 493, 402Calculator?

Out the numbers 343, 284, 493, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.