GCD of 349, 142, 727, 148 Calculator

Given Input numbers are 349, 142, 727, 148

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 142

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

1, 2, 71, 142

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 349, 142, 727, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 142, 727, 148 is 1.

Therefore, GCD of numbers 349, 142, 727, 148 is 1

Given Input Data is 349, 142, 727, 148

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

Prime Factorization of 349 is 349

Prime Factorization of 142 is 2 x 71

Prime Factorization of 727 is 727

Prime Factorization of 148 is 2 x 2 x 37

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(349, 142) = 49558

GCD(349, 142) = ( 349 x 142 ) / 49558

GCD(349, 142) = 49558 / 49558

GCD(349, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 349, 142, 727, 148 is 1

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1. What is the GCD of 349, 142, 727, 148?

GCD of 349, 142, 727, 148 is 1

2. Where do I get the detailed procedure to find GCD of 349, 142, 727, 148?

You can find a detailed procedure to find GCD of 349, 142, 727, 148 on our page.

3. How to find GCD of 349, 142, 727, 148 on a calculator?

You can find the GCD of 349, 142, 727, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.