GCD of 272, 318, 345, 756 Calculator

Given Input numbers are 272, 318, 345, 756

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (272, 318, 345, 756) = 1.

Given numbers are 272, 318, 345, 756

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 345 are 3 x 5 x 23

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 272, 318, 345, 756

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

Apply this formula for all numbers.

Step1:

LCM(272, 318) = 43248

GCD(272, 318) = ( 272 x 318 ) / 43248

= 272 / 318

= 272

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 272, 318, 345, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 633, 887, 664
• GCD of 584, 903, 169, 370
• GCD of 144, 691, 800, 718
• GCD of 532, 589, 945, 927
• GCD of 196, 721, 956, 376

Given numbers are 272, 318, 345, 756
The greatest common divisor of numbers 272, 318, 345, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 318, 345, 756 is 1.

1. What is the GCD of 272, 318, 345, 756?

GCD of given numbers 272, 318, 345, 756 is 1

2. How to calculate the greatest common divisor of 272, 318, 345, 756?

We can find the highest common divisor of 272, 318, 345, 756 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 272, 318, 345, 756 i.e 1.

3. How can I use the GCD of 272, 318, 345, 756Calculator?

Out the numbers 272, 318, 345, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.