GCD of 280, 742, 191, 412 Calculator

Given Input numbers are 280, 742, 191, 412

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 280, 742, 191, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 742, 191, 412 is 1.

Therefore, GCD of numbers 280, 742, 191, 412 is 1

Given Input Data is 280, 742, 191, 412

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 191 is 191

Prime Factorization of 412 is 2 x 2 x 103

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(280, 742) = 14840

GCD(280, 742) = ( 280 x 742 ) / 14840

GCD(280, 742) = 207760 / 14840

GCD(280, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 191

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

LCM(14, 191) = 2674

GCD(14, 191) = ( 14 x 191 ) / 2674

GCD(14, 191) = 2674 / 2674

GCD(14, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 280, 742, 191, 412 is 1

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• GCD of 760, 987, 758, 249
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1. What is the GCD of 280, 742, 191, 412?

GCD of 280, 742, 191, 412 is 1

2. Where do I get the detailed procedure to find GCD of 280, 742, 191, 412?

You can find a detailed procedure to find GCD of 280, 742, 191, 412 on our page.

3. How to find GCD of 280, 742, 191, 412 on a calculator?

You can find the GCD of 280, 742, 191, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.