GCD of 100, 348, 968 Calculator

Given Input numbers are 100, 348, 968

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

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 100, 348, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 348, 968 is 4.

Therefore, GCD of numbers 100, 348, 968 is 4

Given Input Data is 100, 348, 968

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(100, 348) = 8700

GCD(100, 348) = ( 100 x 348 ) / 8700

GCD(100, 348) = 34800 / 8700

GCD(100, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 968

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

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

GCD(4, 968) = 3872 / 968

GCD(4, 968) = 4

GCD of 100, 348, 968 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 728, 663
• GCD of 300, 453, 780
• GCD of 640, 986, 399
• GCD of 611, 520, 193
• GCD of 132, 316, 860

1. What is the GCD of 100, 348, 968?

GCD of 100, 348, 968 is 4

2. Where do I get the detailed procedure to find GCD of 100, 348, 968?

You can find a detailed procedure to find GCD of 100, 348, 968 on our page.

3. How to find GCD of 100, 348, 968 on a calculator?

You can find the GCD of 100, 348, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.