GCD of 48, 616, 906, 880 Calculator

Given Input numbers are 48, 616, 906, 880

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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

Greatest Common Divisior

We found the divisors of 48, 616, 906, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 616, 906, 880 is 2.

Therefore, GCD of numbers 48, 616, 906, 880 is 2

Given Input Data is 48, 616, 906, 880

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 906 is 2 x 3 x 151

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

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, 616) = 3696

GCD(48, 616) = ( 48 x 616 ) / 3696

GCD(48, 616) = 29568 / 3696

GCD(48, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 906

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

LCM(8, 906) = 3624

GCD(8, 906) = ( 8 x 906 ) / 3624

GCD(8, 906) = 7248 / 3624

GCD(8, 906) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 48, 616, 906, 880 is 2

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• GCD of 85, 696, 956, 963
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• GCD of 17, 860, 970, 240

1. What is the GCD of 48, 616, 906, 880?

GCD of 48, 616, 906, 880 is 2

2. Where do I get the detailed procedure to find GCD of 48, 616, 906, 880?

You can find a detailed procedure to find GCD of 48, 616, 906, 880 on our page.

3. How to find GCD of 48, 616, 906, 880 on a calculator?

You can find the GCD of 48, 616, 906, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.