GCD of 617, 145, 71, 117 Calculator

Given Input numbers are 617, 145, 71, 117

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

Divisors of 617

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

1, 617

Divisors of 145

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

1, 5, 29, 145

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 617, 145, 71, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 145, 71, 117 is 1.

Therefore, GCD of numbers 617, 145, 71, 117 is 1

Given Input Data is 617, 145, 71, 117

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

Prime Factorization of 617 is 617

Prime Factorization of 145 is 5 x 29

Prime Factorization of 71 is 71

Prime Factorization of 117 is 3 x 3 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(617, 145) = 89465

GCD(617, 145) = ( 617 x 145 ) / 89465

GCD(617, 145) = 89465 / 89465

GCD(617, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 617, 145, 71, 117 is 1

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1. What is the GCD of 617, 145, 71, 117?

GCD of 617, 145, 71, 117 is 1

2. Where do I get the detailed procedure to find GCD of 617, 145, 71, 117?

You can find a detailed procedure to find GCD of 617, 145, 71, 117 on our page.

3. How to find GCD of 617, 145, 71, 117 on a calculator?

You can find the GCD of 617, 145, 71, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.