GCD of 676, 142, 14, 275 Calculator

Given Input numbers are 676, 142, 14, 275

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 142

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

1, 2, 71, 142

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 676, 142, 14, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 142, 14, 275 is 1.

Therefore, GCD of numbers 676, 142, 14, 275 is 1

Given Input Data is 676, 142, 14, 275

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 14 is 2 x 7

Prime Factorization of 275 is 5 x 5 x 11

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(676, 142) = 47996

GCD(676, 142) = ( 676 x 142 ) / 47996

GCD(676, 142) = 95992 / 47996

GCD(676, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 676, 142, 14, 275 is 1

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• GCD of 112, 907, 67, 447
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1. What is the GCD of 676, 142, 14, 275?

GCD of 676, 142, 14, 275 is 1

2. Where do I get the detailed procedure to find GCD of 676, 142, 14, 275?

You can find a detailed procedure to find GCD of 676, 142, 14, 275 on our page.

3. How to find GCD of 676, 142, 14, 275 on a calculator?

You can find the GCD of 676, 142, 14, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.