GCD of 342, 686, 434, 229 Calculator

Given Input numbers are 342, 686, 434, 229

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

GCD of numbers is the greatest common divisor

So, the GCD (342, 686, 434, 229) = 1.

Given numbers are 342, 686, 434, 229

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 434 are 2 x 7 x 31

Prime factors of 229 are 229

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

Given numbers are 342, 686, 434, 229

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

Apply this formula for all numbers.

Step1:

LCM(342, 686) = 117306

GCD(342, 686) = ( 342 x 686 ) / 117306

= 342 / 686

= 342

Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

Step3:

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

= 2 / 229

= 2

So, Greatest Common Divisor of 342, 686, 434, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 967, 713, 154
• GCD of 730, 564, 964, 686
• GCD of 561, 204, 747, 549
• GCD of 909, 539, 459, 257
• GCD of 619, 490, 427, 197

Given numbers are 342, 686, 434, 229
The greatest common divisor of numbers 342, 686, 434, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 686, 434, 229 is 1.

1. What is the GCD of 342, 686, 434, 229?

GCD of given numbers 342, 686, 434, 229 is 1

2. How to calculate the greatest common divisor of 342, 686, 434, 229?

We can find the highest common divisor of 342, 686, 434, 229 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 342, 686, 434, 229 i.e 1.

3. How can I use the GCD of 342, 686, 434, 229Calculator?

Out the numbers 342, 686, 434, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.