GCD of 213, 300, 69, 344 Calculator

Given Input numbers are 213, 300, 69, 344

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (213, 300, 69, 344) = 1.

Given numbers are 213, 300, 69, 344

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 69 are 3 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 213, 300, 69, 344

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

Apply this formula for all numbers.

Step1:

LCM(213, 300) = 21300

GCD(213, 300) = ( 213 x 300 ) / 21300

= 213 / 300

= 213

Step2:

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

= 3 / 69

= 3

Step3:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3

So, Greatest Common Divisor of 213, 300, 69, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 714, 25, 597
• GCD of 574, 668, 73, 622
• GCD of 708, 422, 56, 469
• GCD of 146, 863, 12, 242
• GCD of 327, 576, 62, 548

Given numbers are 213, 300, 69, 344
The greatest common divisor of numbers 213, 300, 69, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 300, 69, 344 is 1.

1. What is the GCD of 213, 300, 69, 344?

GCD of given numbers 213, 300, 69, 344 is 1

2. How to calculate the greatest common divisor of 213, 300, 69, 344?

We can find the highest common divisor of 213, 300, 69, 344 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 213, 300, 69, 344 i.e 1.

3. How can I use the GCD of 213, 300, 69, 344Calculator?

Out the numbers 213, 300, 69, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.