GCD of 279, 434, 25, 139 Calculator

Given Input numbers are 279, 434, 25, 139

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 25

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

1, 5, 25

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 279, 434, 25, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 434, 25, 139 is 1.

Therefore, GCD of numbers 279, 434, 25, 139 is 1

Given Input Data is 279, 434, 25, 139

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 25 is 5 x 5

Prime Factorization of 139 is 139

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(279, 434) = 3906

GCD(279, 434) = ( 279 x 434 ) / 3906

GCD(279, 434) = 121086 / 3906

GCD(279, 434) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 25

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

LCM(31, 25) = 775

GCD(31, 25) = ( 31 x 25 ) / 775

GCD(31, 25) = 775 / 775

GCD(31, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 279, 434, 25, 139 is 1

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1. What is the GCD of 279, 434, 25, 139?

GCD of 279, 434, 25, 139 is 1

2. Where do I get the detailed procedure to find GCD of 279, 434, 25, 139?

You can find a detailed procedure to find GCD of 279, 434, 25, 139 on our page.

3. How to find GCD of 279, 434, 25, 139 on a calculator?

You can find the GCD of 279, 434, 25, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.