GCD of 546, 490, 514, 835 Calculator

Given Input numbers are 546, 490, 514, 835

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 546, 490, 514, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 490, 514, 835 is 1.

Therefore, GCD of numbers 546, 490, 514, 835 is 1

Given Input Data is 546, 490, 514, 835

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 514 is 2 x 257

Prime Factorization of 835 is 5 x 167

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, 490) = 19110

GCD(546, 490) = ( 546 x 490 ) / 19110

GCD(546, 490) = 267540 / 19110

GCD(546, 490) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 514

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

LCM(14, 514) = 3598

GCD(14, 514) = ( 14 x 514 ) / 3598

GCD(14, 514) = 7196 / 3598

GCD(14, 514) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

GCD of 546, 490, 514, 835 is 1

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1. What is the GCD of 546, 490, 514, 835?

GCD of 546, 490, 514, 835 is 1

2. Where do I get the detailed procedure to find GCD of 546, 490, 514, 835?

You can find a detailed procedure to find GCD of 546, 490, 514, 835 on our page.

3. How to find GCD of 546, 490, 514, 835 on a calculator?

You can find the GCD of 546, 490, 514, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.