GCD of 209, 363, 468, 614 Calculator

Given Input numbers are 209, 363, 468, 614

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (209, 363, 468, 614) = 1.

Given numbers are 209, 363, 468, 614

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 363 are 3 x 11 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 614 are 2 x 307

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

Given numbers are 209, 363, 468, 614

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

Apply this formula for all numbers.

Step1:

LCM(209, 363) = 6897

GCD(209, 363) = ( 209 x 363 ) / 6897

= 209 / 363

= 209

Step2:

LCM(11, 468) = 5148

GCD(11, 468) = ( 11 x 468 ) / 5148

= 11 / 468

= 11

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 209, 363, 468, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 236, 316, 330
• GCD of 134, 912, 651, 100
• GCD of 682, 224, 160, 171
• GCD of 781, 528, 971, 778
• GCD of 115, 580, 976, 847

Given numbers are 209, 363, 468, 614
The greatest common divisor of numbers 209, 363, 468, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 363, 468, 614 is 1.

1. What is the GCD of 209, 363, 468, 614?

GCD of given numbers 209, 363, 468, 614 is 1

2. How to calculate the greatest common divisor of 209, 363, 468, 614?

We can find the highest common divisor of 209, 363, 468, 614 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, 363, 468, 614 i.e 1.

3. How can I use the GCD of 209, 363, 468, 614Calculator?

Out the numbers 209, 363, 468, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.