GCD of 496, 548, 142 Calculator

Given Input numbers are 496, 548, 142

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 496, 548, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 548, 142 is 2.

Therefore, GCD of numbers 496, 548, 142 is 2

Given Input Data is 496, 548, 142

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 548 is 2 x 2 x 137

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(496, 548) = 67952

GCD(496, 548) = ( 496 x 548 ) / 67952

GCD(496, 548) = 271808 / 67952

GCD(496, 548) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 142

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

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

GCD(4, 142) = 568 / 284

GCD(4, 142) = 2

GCD of 496, 548, 142 is 2

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1. What is the GCD of 496, 548, 142?

GCD of 496, 548, 142 is 2

2. Where do I get the detailed procedure to find GCD of 496, 548, 142?

You can find a detailed procedure to find GCD of 496, 548, 142 on our page.

3. How to find GCD of 496, 548, 142 on a calculator?

You can find the GCD of 496, 548, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.