GCD of 131, 225, 350, 278 Calculator

Given Input numbers are 131, 225, 350, 278

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 278

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

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 131, 225, 350, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 225, 350, 278 is 1.

Therefore, GCD of numbers 131, 225, 350, 278 is 1

Given Input Data is 131, 225, 350, 278

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

Prime Factorization of 131 is 131

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 278 is 2 x 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(131, 225) = 29475

GCD(131, 225) = ( 131 x 225 ) / 29475

GCD(131, 225) = 29475 / 29475

GCD(131, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 131, 225, 350, 278 is 1

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1. What is the GCD of 131, 225, 350, 278?

GCD of 131, 225, 350, 278 is 1

2. Where do I get the detailed procedure to find GCD of 131, 225, 350, 278?

You can find a detailed procedure to find GCD of 131, 225, 350, 278 on our page.

3. How to find GCD of 131, 225, 350, 278 on a calculator?

You can find the GCD of 131, 225, 350, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.