GCD of 297, 309, 72, 213 Calculator

Given Input numbers are 297, 309, 72, 213

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (297, 309, 72, 213) = 3.

Given numbers are 297, 309, 72, 213

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 309 are 3 x 103

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 297, 309, 72, 213 is 3.

Given numbers are 297, 309, 72, 213

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

Apply this formula for all numbers.

Step1:

LCM(297, 309) = 30591

GCD(297, 309) = ( 297 x 309 ) / 30591

= 297 / 309

= 297

Step2:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 297, 309, 72, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 232, 98, 997
• GCD of 617, 287, 75, 779
• GCD of 224, 346, 59, 701
• GCD of 288, 824, 30, 427
• GCD of 196, 423, 67, 495

Given numbers are 297, 309, 72, 213
The greatest common divisor of numbers 297, 309, 72, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 309, 72, 213 is 3.

1. What is the GCD of 297, 309, 72, 213?

GCD of given numbers 297, 309, 72, 213 is 3

2. How to calculate the greatest common divisor of 297, 309, 72, 213?

We can find the highest common divisor of 297, 309, 72, 213 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 297, 309, 72, 213 i.e 3.

3. How can I use the GCD of 297, 309, 72, 213Calculator?

Out the numbers 297, 309, 72, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.