GCD of 345, 725, 338, 272 Calculator

Given Input numbers are 345, 725, 338, 272

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

Divisors of 345 :

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

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (345, 725, 338, 272) = 1.

Given numbers are 345, 725, 338, 272

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 725 are 5 x 5 x 29

Prime factors of 338 are 2 x 13 x 13

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

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

Given numbers are 345, 725, 338, 272

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

Apply this formula for all numbers.

Step1:

LCM(345, 725) = 50025

GCD(345, 725) = ( 345 x 725 ) / 50025

= 345 / 725

= 345

Step2:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 345, 725, 338, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 991, 481, 935
• GCD of 212, 858, 133, 304
• GCD of 236, 270, 372, 928
• GCD of 567, 841, 212, 308
• GCD of 318, 131, 712, 285

Given numbers are 345, 725, 338, 272
The greatest common divisor of numbers 345, 725, 338, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 725, 338, 272 is 1.

1. What is the GCD of 345, 725, 338, 272?

GCD of given numbers 345, 725, 338, 272 is 1

2. How to calculate the greatest common divisor of 345, 725, 338, 272?

We can find the highest common divisor of 345, 725, 338, 272 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 345, 725, 338, 272 i.e 1.

3. How can I use the GCD of 345, 725, 338, 272Calculator?

Out the numbers 345, 725, 338, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.