GCD of 546, 790, 280, 381 Calculator

Given Input numbers are 546, 790, 280, 381

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 546, 790, 280, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 790, 280, 381 is 1.

Therefore, GCD of numbers 546, 790, 280, 381 is 1

Given Input Data is 546, 790, 280, 381

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 381 is 3 x 127

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(546, 790) = 215670

GCD(546, 790) = ( 546 x 790 ) / 215670

GCD(546, 790) = 431340 / 215670

GCD(546, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 546, 790, 280, 381 is 1

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1. What is the GCD of 546, 790, 280, 381?

GCD of 546, 790, 280, 381 is 1

2. Where do I get the detailed procedure to find GCD of 546, 790, 280, 381?

You can find a detailed procedure to find GCD of 546, 790, 280, 381 on our page.

3. How to find GCD of 546, 790, 280, 381 on a calculator?

You can find the GCD of 546, 790, 280, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.