GCD of 227, 680, 85, 742 Calculator

Given Input numbers are 227, 680, 85, 742

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 227, 680, 85, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 680, 85, 742 is 1.

Therefore, GCD of numbers 227, 680, 85, 742 is 1

Given Input Data is 227, 680, 85, 742

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

Prime Factorization of 227 is 227

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 742 is 2 x 7 x 53

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(227, 680) = 154360

GCD(227, 680) = ( 227 x 680 ) / 154360

GCD(227, 680) = 154360 / 154360

GCD(227, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 227, 680, 85, 742 is 1

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• GCD of 798, 278, 38, 545
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1. What is the GCD of 227, 680, 85, 742?

GCD of 227, 680, 85, 742 is 1

2. Where do I get the detailed procedure to find GCD of 227, 680, 85, 742?

You can find a detailed procedure to find GCD of 227, 680, 85, 742 on our page.

3. How to find GCD of 227, 680, 85, 742 on a calculator?

You can find the GCD of 227, 680, 85, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.