GCD of 706, 309, 242, 361 Calculator

Given Input numbers are 706, 309, 242, 361

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 361 :

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

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (706, 309, 242, 361) = 1.

Given numbers are 706, 309, 242, 361

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 309 are 3 x 103

Prime factors of 242 are 2 x 11 x 11

Prime factors of 361 are 19 x 19

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

Given numbers are 706, 309, 242, 361

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

Apply this formula for all numbers.

Step1:

LCM(706, 309) = 218154

GCD(706, 309) = ( 706 x 309 ) / 218154

= 706 / 309

= 706

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 706, 309, 242, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 695, 219, 769
• GCD of 574, 806, 700, 494
• GCD of 720, 519, 233, 536
• GCD of 428, 663, 161, 482
• GCD of 224, 455, 969, 228

Given numbers are 706, 309, 242, 361
The greatest common divisor of numbers 706, 309, 242, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 309, 242, 361 is 1.

1. What is the GCD of 706, 309, 242, 361?

GCD of given numbers 706, 309, 242, 361 is 1

2. How to calculate the greatest common divisor of 706, 309, 242, 361?

We can find the highest common divisor of 706, 309, 242, 361 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 706, 309, 242, 361 i.e 1.

3. How can I use the GCD of 706, 309, 242, 361Calculator?

Out the numbers 706, 309, 242, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.