GCD of 221, 390, 309, 488 Calculator

Given Input numbers are 221, 390, 309, 488

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

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (221, 390, 309, 488) = 1.

Given numbers are 221, 390, 309, 488

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 309 are 3 x 103

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 221, 390, 309, 488

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

Apply this formula for all numbers.

Step1:

LCM(221, 390) = 6630

GCD(221, 390) = ( 221 x 390 ) / 6630

= 221 / 390

= 221

Step2:

LCM(13, 309) = 4017

GCD(13, 309) = ( 13 x 309 ) / 4017

= 13 / 309

= 13

Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1

So, Greatest Common Divisor of 221, 390, 309, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 270, 614, 719
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• GCD of 648, 970, 404, 525
• GCD of 347, 656, 765, 236

Given numbers are 221, 390, 309, 488
The greatest common divisor of numbers 221, 390, 309, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 390, 309, 488 is 1.

1. What is the GCD of 221, 390, 309, 488?

GCD of given numbers 221, 390, 309, 488 is 1

2. How to calculate the greatest common divisor of 221, 390, 309, 488?

We can find the highest common divisor of 221, 390, 309, 488 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 221, 390, 309, 488 i.e 1.

3. How can I use the GCD of 221, 390, 309, 488Calculator?

Out the numbers 221, 390, 309, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.