GCD of 309, 171, 221, 291 Calculator

Given Input numbers are 309, 171, 221, 291

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (309, 171, 221, 291) = 1.

Given numbers are 309, 171, 221, 291

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 171 are 3 x 3 x 19

Prime factors of 221 are 13 x 17

Prime factors of 291 are 3 x 97

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

Given numbers are 309, 171, 221, 291

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

Apply this formula for all numbers.

Step1:

LCM(309, 171) = 17613

GCD(309, 171) = ( 309 x 171 ) / 17613

= 309 / 171

= 309

Step2:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3

Step3:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1

So, Greatest Common Divisor of 309, 171, 221, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 146, 780, 233
• GCD of 130, 670, 164, 212
• GCD of 243, 204, 554, 143
• GCD of 851, 160, 228, 769
• GCD of 952, 377, 540, 675

Given numbers are 309, 171, 221, 291
The greatest common divisor of numbers 309, 171, 221, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 171, 221, 291 is 1.

1. What is the GCD of 309, 171, 221, 291?

GCD of given numbers 309, 171, 221, 291 is 1

2. How to calculate the greatest common divisor of 309, 171, 221, 291?

We can find the highest common divisor of 309, 171, 221, 291 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 309, 171, 221, 291 i.e 1.

3. How can I use the GCD of 309, 171, 221, 291Calculator?

Out the numbers 309, 171, 221, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.