GCD of 345, 560, 910, 273 Calculator

Given Input numbers are 345, 560, 910, 273

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 345, 560, 910, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 560, 910, 273 is 1.

Therefore, GCD of numbers 345, 560, 910, 273 is 1

Given Input Data is 345, 560, 910, 273

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 273 is 3 x 7 x 13

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(345, 560) = 38640

GCD(345, 560) = ( 345 x 560 ) / 38640

GCD(345, 560) = 193200 / 38640

GCD(345, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 910

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

LCM(5, 910) = 910

GCD(5, 910) = ( 5 x 910 ) / 910

GCD(5, 910) = 4550 / 910

GCD(5, 910) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 273

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

LCM(5, 273) = 1365

GCD(5, 273) = ( 5 x 273 ) / 1365

GCD(5, 273) = 1365 / 1365

GCD(5, 273) = 1

GCD of 345, 560, 910, 273 is 1

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1. What is the GCD of 345, 560, 910, 273?

GCD of 345, 560, 910, 273 is 1

2. Where do I get the detailed procedure to find GCD of 345, 560, 910, 273?

You can find a detailed procedure to find GCD of 345, 560, 910, 273 on our page.

3. How to find GCD of 345, 560, 910, 273 on a calculator?

You can find the GCD of 345, 560, 910, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.