GCD of 734, 827, 748, 271 Calculator

Given Input numbers are 734, 827, 748, 271

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

Divisors of 734

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

1, 2, 367, 734

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 734, 827, 748, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 827, 748, 271 is 1.

Therefore, GCD of numbers 734, 827, 748, 271 is 1

Given Input Data is 734, 827, 748, 271

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 827 is 827

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 271 is 271

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(734, 827) = 607018

GCD(734, 827) = ( 734 x 827 ) / 607018

GCD(734, 827) = 607018 / 607018

GCD(734, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 734, 827, 748, 271 is 1

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1. What is the GCD of 734, 827, 748, 271?

GCD of 734, 827, 748, 271 is 1

2. Where do I get the detailed procedure to find GCD of 734, 827, 748, 271?

You can find a detailed procedure to find GCD of 734, 827, 748, 271 on our page.

3. How to find GCD of 734, 827, 748, 271 on a calculator?

You can find the GCD of 734, 827, 748, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.