GCD of 74, 248, 499, 123 Calculator

Given Input numbers are 74, 248, 499, 123

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 74, 248, 499, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 248, 499, 123 is 1.

Therefore, GCD of numbers 74, 248, 499, 123 is 1

Given Input Data is 74, 248, 499, 123

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 499 is 499

Prime Factorization of 123 is 3 x 41

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(74, 248) = 9176

GCD(74, 248) = ( 74 x 248 ) / 9176

GCD(74, 248) = 18352 / 9176

GCD(74, 248) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 74, 248, 499, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 812, 174, 970
• GCD of 63, 301, 106, 216
• GCD of 62, 210, 278, 946
• GCD of 27, 586, 490, 284
• GCD of 13, 780, 634, 364

1. What is the GCD of 74, 248, 499, 123?

GCD of 74, 248, 499, 123 is 1

2. Where do I get the detailed procedure to find GCD of 74, 248, 499, 123?

You can find a detailed procedure to find GCD of 74, 248, 499, 123 on our page.

3. How to find GCD of 74, 248, 499, 123 on a calculator?

You can find the GCD of 74, 248, 499, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.