GCD of 745, 560, 617 Calculator

Given Input numbers are 745, 560, 617

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 745, 560, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 560, 617 is 1.

Therefore, GCD of numbers 745, 560, 617 is 1

Given Input Data is 745, 560, 617

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

Prime Factorization of 745 is 5 x 149

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

Prime Factorization of 617 is 617

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(745, 560) = 83440

GCD(745, 560) = ( 745 x 560 ) / 83440

GCD(745, 560) = 417200 / 83440

GCD(745, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 617

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

LCM(5, 617) = 3085

GCD(5, 617) = ( 5 x 617 ) / 3085

GCD(5, 617) = 3085 / 3085

GCD(5, 617) = 1

GCD of 745, 560, 617 is 1

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1. What is the GCD of 745, 560, 617?

GCD of 745, 560, 617 is 1

2. Where do I get the detailed procedure to find GCD of 745, 560, 617?

You can find a detailed procedure to find GCD of 745, 560, 617 on our page.

3. How to find GCD of 745, 560, 617 on a calculator?

You can find the GCD of 745, 560, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.