GCD of 428, 842, 61, 878 Calculator

Given Input numbers are 428, 842, 61, 878

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 878

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

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 428, 842, 61, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 842, 61, 878 is 1.

Therefore, GCD of numbers 428, 842, 61, 878 is 1

Given Input Data is 428, 842, 61, 878

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 842 is 2 x 421

Prime Factorization of 61 is 61

Prime Factorization of 878 is 2 x 439

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(428, 842) = 180188

GCD(428, 842) = ( 428 x 842 ) / 180188

GCD(428, 842) = 360376 / 180188

GCD(428, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 428, 842, 61, 878 is 1

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1. What is the GCD of 428, 842, 61, 878?

GCD of 428, 842, 61, 878 is 1

2. Where do I get the detailed procedure to find GCD of 428, 842, 61, 878?

You can find a detailed procedure to find GCD of 428, 842, 61, 878 on our page.

3. How to find GCD of 428, 842, 61, 878 on a calculator?

You can find the GCD of 428, 842, 61, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.