GCD of 270, 195, 561, 349 Calculator

Given Input numbers are 270, 195, 561, 349

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (270, 195, 561, 349) = 1.

Given numbers are 270, 195, 561, 349

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 195 are 3 x 5 x 13

Prime factors of 561 are 3 x 11 x 17

Prime factors of 349 are 349

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

Given numbers are 270, 195, 561, 349

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

Apply this formula for all numbers.

Step1:

LCM(270, 195) = 3510

GCD(270, 195) = ( 270 x 195 ) / 3510

= 270 / 195

= 270

Step2:

LCM(15, 561) = 2805

GCD(15, 561) = ( 15 x 561 ) / 2805

= 15 / 561

= 15

Step3:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

So, Greatest Common Divisor of 270, 195, 561, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 785, 347, 200
• GCD of 904, 203, 403, 746
• GCD of 844, 111, 131, 584
• GCD of 583, 369, 661, 661
• GCD of 187, 217, 481, 594

Given numbers are 270, 195, 561, 349
The greatest common divisor of numbers 270, 195, 561, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 195, 561, 349 is 1.

1. What is the GCD of 270, 195, 561, 349?

GCD of given numbers 270, 195, 561, 349 is 1

2. How to calculate the greatest common divisor of 270, 195, 561, 349?

We can find the highest common divisor of 270, 195, 561, 349 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 270, 195, 561, 349 i.e 1.

3. How can I use the GCD of 270, 195, 561, 349Calculator?

Out the numbers 270, 195, 561, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.