GCD of 361, 289, 342, 308 Calculator

Given Input numbers are 361, 289, 342, 308

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (361, 289, 342, 308) = 1.

Given numbers are 361, 289, 342, 308

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 289 are 17 x 17

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

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 361, 289, 342, 308

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

Apply this formula for all numbers.

Step1:

LCM(361, 289) = 104329

GCD(361, 289) = ( 361 x 289 ) / 104329

= 361 / 289

= 361

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 361, 289, 342, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 527, 607, 333
• GCD of 864, 357, 378, 572
• GCD of 774, 125, 306, 437
• GCD of 327, 710, 237, 385
• GCD of 224, 631, 141, 910

Given numbers are 361, 289, 342, 308
The greatest common divisor of numbers 361, 289, 342, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 289, 342, 308 is 1.

1. What is the GCD of 361, 289, 342, 308?

GCD of given numbers 361, 289, 342, 308 is 1

2. How to calculate the greatest common divisor of 361, 289, 342, 308?

We can find the highest common divisor of 361, 289, 342, 308 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 361, 289, 342, 308 i.e 1.

3. How can I use the GCD of 361, 289, 342, 308Calculator?

Out the numbers 361, 289, 342, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.