GCD of 48, 498, 240, 142 Calculator

Given Input numbers are 48, 498, 240, 142

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 48, 498, 240, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 498, 240, 142 is 2.

Therefore, GCD of numbers 48, 498, 240, 142 is 2

Given Input Data is 48, 498, 240, 142

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 142 is 2 x 71

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(48, 498) = 3984

GCD(48, 498) = ( 48 x 498 ) / 3984

GCD(48, 498) = 23904 / 3984

GCD(48, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 240

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

LCM(6, 240) = 240

GCD(6, 240) = ( 6 x 240 ) / 240

GCD(6, 240) = 1440 / 240

GCD(6, 240) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 142

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

LCM(6, 142) = 426

GCD(6, 142) = ( 6 x 142 ) / 426

GCD(6, 142) = 852 / 426

GCD(6, 142) = 2

GCD of 48, 498, 240, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 718, 154, 685
• GCD of 89, 501, 974, 459
• GCD of 83, 743, 416, 770
• GCD of 24, 708, 209, 611
• GCD of 90, 426, 319, 209

1. What is the GCD of 48, 498, 240, 142?

GCD of 48, 498, 240, 142 is 2

2. Where do I get the detailed procedure to find GCD of 48, 498, 240, 142?

You can find a detailed procedure to find GCD of 48, 498, 240, 142 on our page.

3. How to find GCD of 48, 498, 240, 142 on a calculator?

You can find the GCD of 48, 498, 240, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.