GCD of 616, 560, 115, 145 Calculator

Given Input numbers are 616, 560, 115, 145

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 616, 560, 115, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 560, 115, 145 is 1.

Therefore, GCD of numbers 616, 560, 115, 145 is 1

Given Input Data is 616, 560, 115, 145

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 145 is 5 x 29

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(616, 560) = 6160

GCD(616, 560) = ( 616 x 560 ) / 6160

GCD(616, 560) = 344960 / 6160

GCD(616, 560) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 115

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

LCM(56, 115) = 6440

GCD(56, 115) = ( 56 x 115 ) / 6440

GCD(56, 115) = 6440 / 6440

GCD(56, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 616, 560, 115, 145 is 1

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1. What is the GCD of 616, 560, 115, 145?

GCD of 616, 560, 115, 145 is 1

2. Where do I get the detailed procedure to find GCD of 616, 560, 115, 145?

You can find a detailed procedure to find GCD of 616, 560, 115, 145 on our page.

3. How to find GCD of 616, 560, 115, 145 on a calculator?

You can find the GCD of 616, 560, 115, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.