GCD of 278, 894, 25, 142 Calculator

Given Input numbers are 278, 894, 25, 142

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 278, 894, 25, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 894, 25, 142 is 1.

Therefore, GCD of numbers 278, 894, 25, 142 is 1

Given Input Data is 278, 894, 25, 142

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 25 is 5 x 5

Prime Factorization of 142 is 2 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(278, 894) = 124266

GCD(278, 894) = ( 278 x 894 ) / 124266

GCD(278, 894) = 248532 / 124266

GCD(278, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 278, 894, 25, 142 is 1

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1. What is the GCD of 278, 894, 25, 142?

GCD of 278, 894, 25, 142 is 1

2. Where do I get the detailed procedure to find GCD of 278, 894, 25, 142?

You can find a detailed procedure to find GCD of 278, 894, 25, 142 on our page.

3. How to find GCD of 278, 894, 25, 142 on a calculator?

You can find the GCD of 278, 894, 25, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.