GCD of 135, 171, 111, 290 Calculator

Given Input numbers are 135, 171, 111, 290

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (135, 171, 111, 290) = 1.

Given numbers are 135, 171, 111, 290

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 171 are 3 x 3 x 19

Prime factors of 111 are 3 x 37

Prime factors of 290 are 2 x 5 x 29

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

Given numbers are 135, 171, 111, 290

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

Apply this formula for all numbers.

Step1:

LCM(135, 171) = 2565

GCD(135, 171) = ( 135 x 171 ) / 2565

= 135 / 171

= 135

Step2:

LCM(9, 111) = 333

GCD(9, 111) = ( 9 x 111 ) / 333

= 9 / 111

= 9

Step3:

LCM(3, 290) = 870

GCD(3, 290) = ( 3 x 290 ) / 870

= 3 / 290

= 3

So, Greatest Common Divisor of 135, 171, 111, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 821, 585, 846
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• GCD of 699, 684, 849, 323

Given numbers are 135, 171, 111, 290
The greatest common divisor of numbers 135, 171, 111, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 171, 111, 290 is 1.

1. What is the GCD of 135, 171, 111, 290?

GCD of given numbers 135, 171, 111, 290 is 1

2. How to calculate the greatest common divisor of 135, 171, 111, 290?

We can find the highest common divisor of 135, 171, 111, 290 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 135, 171, 111, 290 i.e 1.

3. How can I use the GCD of 135, 171, 111, 290Calculator?

Out the numbers 135, 171, 111, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.