GCD of 126, 182, 74, 502 Calculator

Given Input numbers are 126, 182, 74, 502

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 74

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

1, 2, 37, 74

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 126, 182, 74, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 182, 74, 502 is 2.

Therefore, GCD of numbers 126, 182, 74, 502 is 2

Given Input Data is 126, 182, 74, 502

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 502 is 2 x 251

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(126, 182) = 1638

GCD(126, 182) = ( 126 x 182 ) / 1638

GCD(126, 182) = 22932 / 1638

GCD(126, 182) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 74

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

LCM(14, 74) = 518

GCD(14, 74) = ( 14 x 74 ) / 518

GCD(14, 74) = 1036 / 518

GCD(14, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 126, 182, 74, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 624, 43, 892
• GCD of 362, 858, 75, 307
• GCD of 283, 549, 88, 627
• GCD of 511, 408, 56, 460
• GCD of 772, 366, 47, 106

1. What is the GCD of 126, 182, 74, 502?

GCD of 126, 182, 74, 502 is 2

2. Where do I get the detailed procedure to find GCD of 126, 182, 74, 502?

You can find a detailed procedure to find GCD of 126, 182, 74, 502 on our page.

3. How to find GCD of 126, 182, 74, 502 on a calculator?

You can find the GCD of 126, 182, 74, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.