GCD of 132, 477, 878, 741 Calculator

Given Input numbers are 132, 477, 878, 741

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

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

Greatest Common Divisior

We found the divisors of 132, 477, 878, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 477, 878, 741 is 1.

Therefore, GCD of numbers 132, 477, 878, 741 is 1

Given Input Data is 132, 477, 878, 741

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 878 is 2 x 439

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(132, 477) = 20988

GCD(132, 477) = ( 132 x 477 ) / 20988

GCD(132, 477) = 62964 / 20988

GCD(132, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 878

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

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

GCD(3, 878) = 2634 / 2634

GCD(3, 878) = 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 132, 477, 878, 741 is 1

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1. What is the GCD of 132, 477, 878, 741?

GCD of 132, 477, 878, 741 is 1

2. Where do I get the detailed procedure to find GCD of 132, 477, 878, 741?

You can find a detailed procedure to find GCD of 132, 477, 878, 741 on our page.

3. How to find GCD of 132, 477, 878, 741 on a calculator?

You can find the GCD of 132, 477, 878, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.