GCD of 231, 734, 217, 761 Calculator

Given Input numbers are 231, 734, 217, 761

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 231, 734, 217, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 734, 217, 761 is 1.

Therefore, GCD of numbers 231, 734, 217, 761 is 1

Given Input Data is 231, 734, 217, 761

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 734 is 2 x 367

Prime Factorization of 217 is 7 x 31

Prime Factorization of 761 is 761

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(231, 734) = 169554

GCD(231, 734) = ( 231 x 734 ) / 169554

GCD(231, 734) = 169554 / 169554

GCD(231, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 231, 734, 217, 761 is 1

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1. What is the GCD of 231, 734, 217, 761?

GCD of 231, 734, 217, 761 is 1

2. Where do I get the detailed procedure to find GCD of 231, 734, 217, 761?

You can find a detailed procedure to find GCD of 231, 734, 217, 761 on our page.

3. How to find GCD of 231, 734, 217, 761 on a calculator?

You can find the GCD of 231, 734, 217, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.