GCD of 176, 296, 60, 517 Calculator

Given Input numbers are 176, 296, 60, 517

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 176, 296, 60, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 296, 60, 517 is 1.

Therefore, GCD of numbers 176, 296, 60, 517 is 1

Given Input Data is 176, 296, 60, 517

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 517 is 11 x 47

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(176, 296) = 6512

GCD(176, 296) = ( 176 x 296 ) / 6512

GCD(176, 296) = 52096 / 6512

GCD(176, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 60

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

LCM(8, 60) = 120

GCD(8, 60) = ( 8 x 60 ) / 120

GCD(8, 60) = 480 / 120

GCD(8, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 517

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

LCM(4, 517) = 2068

GCD(4, 517) = ( 4 x 517 ) / 2068

GCD(4, 517) = 2068 / 2068

GCD(4, 517) = 1

GCD of 176, 296, 60, 517 is 1

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• GCD of 238, 955, 25, 694
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1. What is the GCD of 176, 296, 60, 517?

GCD of 176, 296, 60, 517 is 1

2. Where do I get the detailed procedure to find GCD of 176, 296, 60, 517?

You can find a detailed procedure to find GCD of 176, 296, 60, 517 on our page.

3. How to find GCD of 176, 296, 60, 517 on a calculator?

You can find the GCD of 176, 296, 60, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.