GCD of 41, 878, 741, 461 Calculator

Given Input numbers are 41, 878, 741, 461

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 41, 878, 741, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 878, 741, 461 is 1.

Therefore, GCD of numbers 41, 878, 741, 461 is 1

Given Input Data is 41, 878, 741, 461

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

Prime Factorization of 41 is 41

Prime Factorization of 878 is 2 x 439

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 461 is 461

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(41, 878) = 35998

GCD(41, 878) = ( 41 x 878 ) / 35998

GCD(41, 878) = 35998 / 35998

GCD(41, 878) = 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 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 41, 878, 741, 461 is 1

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1. What is the GCD of 41, 878, 741, 461?

GCD of 41, 878, 741, 461 is 1

2. Where do I get the detailed procedure to find GCD of 41, 878, 741, 461?

You can find a detailed procedure to find GCD of 41, 878, 741, 461 on our page.

3. How to find GCD of 41, 878, 741, 461 on a calculator?

You can find the GCD of 41, 878, 741, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.