GCD of 48, 496, 534, 290 Calculator

Given Input numbers are 48, 496, 534, 290

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 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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 48, 496, 534, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 496, 534, 290 is 2.

Therefore, GCD of numbers 48, 496, 534, 290 is 2

Given Input Data is 48, 496, 534, 290

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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 290 is 2 x 5 x 29

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, 496) = 1488

GCD(48, 496) = ( 48 x 496 ) / 1488

GCD(48, 496) = 23808 / 1488

GCD(48, 496) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 534

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

LCM(16, 534) = 4272

GCD(16, 534) = ( 16 x 534 ) / 4272

GCD(16, 534) = 8544 / 4272

GCD(16, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 48, 496, 534, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 691, 157, 671
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• GCD of 61, 701, 885, 451

1. What is the GCD of 48, 496, 534, 290?

GCD of 48, 496, 534, 290 is 2

2. Where do I get the detailed procedure to find GCD of 48, 496, 534, 290?

You can find a detailed procedure to find GCD of 48, 496, 534, 290 on our page.

3. How to find GCD of 48, 496, 534, 290 on a calculator?

You can find the GCD of 48, 496, 534, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.