GCD of 498, 874, 790, 535 Calculator

Given Input numbers are 498, 874, 790, 535

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 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 498, 874, 790, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 874, 790, 535 is 1.

Therefore, GCD of numbers 498, 874, 790, 535 is 1

Given Input Data is 498, 874, 790, 535

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 790 is 2 x 5 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(498, 874) = 217626

GCD(498, 874) = ( 498 x 874 ) / 217626

GCD(498, 874) = 435252 / 217626

GCD(498, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 535

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

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

GCD(2, 535) = 1070 / 1070

GCD(2, 535) = 1

GCD of 498, 874, 790, 535 is 1

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1. What is the GCD of 498, 874, 790, 535?

GCD of 498, 874, 790, 535 is 1

2. Where do I get the detailed procedure to find GCD of 498, 874, 790, 535?

You can find a detailed procedure to find GCD of 498, 874, 790, 535 on our page.

3. How to find GCD of 498, 874, 790, 535 on a calculator?

You can find the GCD of 498, 874, 790, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.