GCD of 96, 268, 848, 100 Calculator

Given Input numbers are 96, 268, 848, 100

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 96, 268, 848, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 268, 848, 100 is 4.

Therefore, GCD of numbers 96, 268, 848, 100 is 4

Given Input Data is 96, 268, 848, 100

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(96, 268) = 6432

GCD(96, 268) = ( 96 x 268 ) / 6432

GCD(96, 268) = 25728 / 6432

GCD(96, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 848

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

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

GCD(4, 848) = 3392 / 848

GCD(4, 848) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 100

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

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

GCD(4, 100) = 400 / 100

GCD(4, 100) = 4

GCD of 96, 268, 848, 100 is 4

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1. What is the GCD of 96, 268, 848, 100?

GCD of 96, 268, 848, 100 is 4

2. Where do I get the detailed procedure to find GCD of 96, 268, 848, 100?

You can find a detailed procedure to find GCD of 96, 268, 848, 100 on our page.

3. How to find GCD of 96, 268, 848, 100 on a calculator?

You can find the GCD of 96, 268, 848, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.