GCD of 527, 874, 741, 838 Calculator

Given Input numbers are 527, 874, 741, 838

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 527, 874, 741, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 874, 741, 838 is 1.

Therefore, GCD of numbers 527, 874, 741, 838 is 1

Given Input Data is 527, 874, 741, 838

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 838 is 2 x 419

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(527, 874) = 460598

GCD(527, 874) = ( 527 x 874 ) / 460598

GCD(527, 874) = 460598 / 460598

GCD(527, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 527, 874, 741, 838 is 1

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1. What is the GCD of 527, 874, 741, 838?

GCD of 527, 874, 741, 838 is 1

2. Where do I get the detailed procedure to find GCD of 527, 874, 741, 838?

You can find a detailed procedure to find GCD of 527, 874, 741, 838 on our page.

3. How to find GCD of 527, 874, 741, 838 on a calculator?

You can find the GCD of 527, 874, 741, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.