GCD of 717, 285, 946, 118 Calculator

Given Input numbers are 717, 285, 946, 118

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 717, 285, 946, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 285, 946, 118 is 1.

Therefore, GCD of numbers 717, 285, 946, 118 is 1

Given Input Data is 717, 285, 946, 118

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 118 is 2 x 59

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(717, 285) = 68115

GCD(717, 285) = ( 717 x 285 ) / 68115

GCD(717, 285) = 204345 / 68115

GCD(717, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 717, 285, 946, 118 is 1

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1. What is the GCD of 717, 285, 946, 118?

GCD of 717, 285, 946, 118 is 1

2. Where do I get the detailed procedure to find GCD of 717, 285, 946, 118?

You can find a detailed procedure to find GCD of 717, 285, 946, 118 on our page.

3. How to find GCD of 717, 285, 946, 118 on a calculator?

You can find the GCD of 717, 285, 946, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.