GCD of 498, 142, 152 Calculator

Given Input numbers are 498, 142, 152

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 142

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

1, 2, 71, 142

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 498, 142, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 142, 152 is 2.

Therefore, GCD of numbers 498, 142, 152 is 2

Given Input Data is 498, 142, 152

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 142 is 2 x 71

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(498, 142) = 35358

GCD(498, 142) = ( 498 x 142 ) / 35358

GCD(498, 142) = 70716 / 35358

GCD(498, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 152

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

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

GCD(2, 152) = 304 / 152

GCD(2, 152) = 2

GCD of 498, 142, 152 is 2

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1. What is the GCD of 498, 142, 152?

GCD of 498, 142, 152 is 2

2. Where do I get the detailed procedure to find GCD of 498, 142, 152?

You can find a detailed procedure to find GCD of 498, 142, 152 on our page.

3. How to find GCD of 498, 142, 152 on a calculator?

You can find the GCD of 498, 142, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.