GCD of 547, 428, 490, 916 Calculator

Given Input numbers are 547, 428, 490, 916

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 547, 428, 490, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 428, 490, 916 is 1.

Therefore, GCD of numbers 547, 428, 490, 916 is 1

Given Input Data is 547, 428, 490, 916

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

Prime Factorization of 547 is 547

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 916 is 2 x 2 x 229

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(547, 428) = 234116

GCD(547, 428) = ( 547 x 428 ) / 234116

GCD(547, 428) = 234116 / 234116

GCD(547, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 547, 428, 490, 916 is 1

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1. What is the GCD of 547, 428, 490, 916?

GCD of 547, 428, 490, 916 is 1

2. Where do I get the detailed procedure to find GCD of 547, 428, 490, 916?

You can find a detailed procedure to find GCD of 547, 428, 490, 916 on our page.

3. How to find GCD of 547, 428, 490, 916 on a calculator?

You can find the GCD of 547, 428, 490, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.