GCD of 598, 492, 553, 535 Calculator

Given Input numbers are 598, 492, 553, 535

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 535

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

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 598, 492, 553, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 492, 553, 535 is 1.

Therefore, GCD of numbers 598, 492, 553, 535 is 1

Given Input Data is 598, 492, 553, 535

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 553 is 7 x 79

Prime Factorization of 535 is 5 x 107

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(598, 492) = 147108

GCD(598, 492) = ( 598 x 492 ) / 147108

GCD(598, 492) = 294216 / 147108

GCD(598, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 598, 492, 553, 535 is 1

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1. What is the GCD of 598, 492, 553, 535?

GCD of 598, 492, 553, 535 is 1

2. Where do I get the detailed procedure to find GCD of 598, 492, 553, 535?

You can find a detailed procedure to find GCD of 598, 492, 553, 535 on our page.

3. How to find GCD of 598, 492, 553, 535 on a calculator?

You can find the GCD of 598, 492, 553, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.