GCD of 216, 195, 343, 280 Calculator

Given Input numbers are 216, 195, 343, 280

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (216, 195, 343, 280) = 1.

Given numbers are 216, 195, 343, 280

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 195 are 3 x 5 x 13

Prime factors of 343 are 7 x 7 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 216, 195, 343, 280

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

Apply this formula for all numbers.

Step1:

LCM(216, 195) = 14040

GCD(216, 195) = ( 216 x 195 ) / 14040

= 216 / 195

= 216

Step2:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 216, 195, 343, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 681, 909, 292
• GCD of 731, 956, 185, 192
• GCD of 457, 286, 502, 196
• GCD of 337, 788, 206, 401
• GCD of 925, 522, 719, 254

Given numbers are 216, 195, 343, 280
The greatest common divisor of numbers 216, 195, 343, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 195, 343, 280 is 1.

1. What is the GCD of 216, 195, 343, 280?

GCD of given numbers 216, 195, 343, 280 is 1

2. How to calculate the greatest common divisor of 216, 195, 343, 280?

We can find the highest common divisor of 216, 195, 343, 280 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 216, 195, 343, 280 i.e 1.

3. How can I use the GCD of 216, 195, 343, 280Calculator?

Out the numbers 216, 195, 343, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.