GCD of 498, 738, 974, 531 Calculator

Given Input numbers are 498, 738, 974, 531

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 498, 738, 974, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 738, 974, 531 is 1.

Therefore, GCD of numbers 498, 738, 974, 531 is 1

Given Input Data is 498, 738, 974, 531

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 974 is 2 x 487

Prime Factorization of 531 is 3 x 3 x 59

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, 738) = 61254

GCD(498, 738) = ( 498 x 738 ) / 61254

GCD(498, 738) = 367524 / 61254

GCD(498, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 974

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

LCM(6, 974) = 2922

GCD(6, 974) = ( 6 x 974 ) / 2922

GCD(6, 974) = 5844 / 2922

GCD(6, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 531

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

LCM(2, 531) = 1062

GCD(2, 531) = ( 2 x 531 ) / 1062

GCD(2, 531) = 1062 / 1062

GCD(2, 531) = 1

GCD of 498, 738, 974, 531 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 610, 328, 106
• GCD of 402, 378, 115, 496
• GCD of 174, 854, 716, 942
• GCD of 668, 153, 476, 420
• GCD of 941, 117, 573, 835

1. What is the GCD of 498, 738, 974, 531?

GCD of 498, 738, 974, 531 is 1

2. Where do I get the detailed procedure to find GCD of 498, 738, 974, 531?

You can find a detailed procedure to find GCD of 498, 738, 974, 531 on our page.

3. How to find GCD of 498, 738, 974, 531 on a calculator?

You can find the GCD of 498, 738, 974, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.