GCD of 878, 254, 616, 213 Calculator

Given Input numbers are 878, 254, 616, 213

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

Divisors of 878

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

1, 2, 439, 878

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 878, 254, 616, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 254, 616, 213 is 1.

Therefore, GCD of numbers 878, 254, 616, 213 is 1

Given Input Data is 878, 254, 616, 213

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 254 is 2 x 127

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 213 is 3 x 71

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(878, 254) = 111506

GCD(878, 254) = ( 878 x 254 ) / 111506

GCD(878, 254) = 223012 / 111506

GCD(878, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 878, 254, 616, 213 is 1

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• GCD of 162, 530, 248, 305
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1. What is the GCD of 878, 254, 616, 213?

GCD of 878, 254, 616, 213 is 1

2. Where do I get the detailed procedure to find GCD of 878, 254, 616, 213?

You can find a detailed procedure to find GCD of 878, 254, 616, 213 on our page.

3. How to find GCD of 878, 254, 616, 213 on a calculator?

You can find the GCD of 878, 254, 616, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.