GCD of 415, 880, 421, 741 Calculator

Given Input numbers are 415, 880, 421, 741

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 741

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

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

Greatest Common Divisior

We found the divisors of 415, 880, 421, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 880, 421, 741 is 1.

Therefore, GCD of numbers 415, 880, 421, 741 is 1

Given Input Data is 415, 880, 421, 741

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 421 is 421

Prime Factorization of 741 is 3 x 13 x 19

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(415, 880) = 73040

GCD(415, 880) = ( 415 x 880 ) / 73040

GCD(415, 880) = 365200 / 73040

GCD(415, 880) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 421

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

LCM(5, 421) = 2105

GCD(5, 421) = ( 5 x 421 ) / 2105

GCD(5, 421) = 2105 / 2105

GCD(5, 421) = 1

Step3:

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

GCD of 415, 880, 421, 741 is 1

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1. What is the GCD of 415, 880, 421, 741?

GCD of 415, 880, 421, 741 is 1

2. Where do I get the detailed procedure to find GCD of 415, 880, 421, 741?

You can find a detailed procedure to find GCD of 415, 880, 421, 741 on our page.

3. How to find GCD of 415, 880, 421, 741 on a calculator?

You can find the GCD of 415, 880, 421, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.