GCD of 268, 880, 488 Calculator

Given Input numbers are 268, 880, 488

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 268, 880, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 880, 488 is 4.

Therefore, GCD of numbers 268, 880, 488 is 4

Given Input Data is 268, 880, 488

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 488 is 2 x 2 x 2 x 61

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(268, 880) = 58960

GCD(268, 880) = ( 268 x 880 ) / 58960

GCD(268, 880) = 235840 / 58960

GCD(268, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 488

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

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

GCD(4, 488) = 1952 / 488

GCD(4, 488) = 4

GCD of 268, 880, 488 is 4

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1. What is the GCD of 268, 880, 488?

GCD of 268, 880, 488 is 4

2. Where do I get the detailed procedure to find GCD of 268, 880, 488?

You can find a detailed procedure to find GCD of 268, 880, 488 on our page.

3. How to find GCD of 268, 880, 488 on a calculator?

You can find the GCD of 268, 880, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.