GCD of 213, 658, 74, 498 Calculator

Given Input numbers are 213, 658, 74, 498

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 658

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

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 213, 658, 74, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 658, 74, 498 is 1.

Therefore, GCD of numbers 213, 658, 74, 498 is 1

Given Input Data is 213, 658, 74, 498

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 498 is 2 x 3 x 83

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(213, 658) = 140154

GCD(213, 658) = ( 213 x 658 ) / 140154

GCD(213, 658) = 140154 / 140154

GCD(213, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 213, 658, 74, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 212, 57, 842
• GCD of 505, 742, 39, 601
• GCD of 506, 905, 75, 885
• GCD of 511, 410, 84, 442
• GCD of 607, 274, 33, 958

1. What is the GCD of 213, 658, 74, 498?

GCD of 213, 658, 74, 498 is 1

2. Where do I get the detailed procedure to find GCD of 213, 658, 74, 498?

You can find a detailed procedure to find GCD of 213, 658, 74, 498 on our page.

3. How to find GCD of 213, 658, 74, 498 on a calculator?

You can find the GCD of 213, 658, 74, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.