GCD of 535, 484, 49, 658 Calculator

Given Input numbers are 535, 484, 49, 658

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 535, 484, 49, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 484, 49, 658 is 1.

Therefore, GCD of numbers 535, 484, 49, 658 is 1

Given Input Data is 535, 484, 49, 658

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 658 is 2 x 7 x 47

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(535, 484) = 258940

GCD(535, 484) = ( 535 x 484 ) / 258940

GCD(535, 484) = 258940 / 258940

GCD(535, 484) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 535, 484, 49, 658 is 1

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1. What is the GCD of 535, 484, 49, 658?

GCD of 535, 484, 49, 658 is 1

2. Where do I get the detailed procedure to find GCD of 535, 484, 49, 658?

You can find a detailed procedure to find GCD of 535, 484, 49, 658 on our page.

3. How to find GCD of 535, 484, 49, 658 on a calculator?

You can find the GCD of 535, 484, 49, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.