GCD of 209, 221, 616, 465 Calculator

Given Input numbers are 209, 221, 616, 465

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (209, 221, 616, 465) = 1.

Given numbers are 209, 221, 616, 465

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 221 are 13 x 17

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 209, 221, 616, 465

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

Apply this formula for all numbers.

Step1:

LCM(209, 221) = 46189

GCD(209, 221) = ( 209 x 221 ) / 46189

= 209 / 221

= 209

Step2:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 209, 221, 616, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 707, 877, 719
• GCD of 410, 440, 662, 725
• GCD of 205, 228, 197, 667
• GCD of 668, 322, 285, 861
• GCD of 280, 492, 659, 649

Given numbers are 209, 221, 616, 465
The greatest common divisor of numbers 209, 221, 616, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 221, 616, 465 is 1.

1. What is the GCD of 209, 221, 616, 465?

GCD of given numbers 209, 221, 616, 465 is 1

2. How to calculate the greatest common divisor of 209, 221, 616, 465?

We can find the highest common divisor of 209, 221, 616, 465 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 209, 221, 616, 465 i.e 1.

3. How can I use the GCD of 209, 221, 616, 465Calculator?

Out the numbers 209, 221, 616, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.