GCD of 100, 694, 386 Calculator

Given Input numbers are 100, 694, 386

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 100, 694, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 694, 386 is 2.

Therefore, GCD of numbers 100, 694, 386 is 2

Given Input Data is 100, 694, 386

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 694 is 2 x 347

Prime Factorization of 386 is 2 x 193

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(100, 694) = 34700

GCD(100, 694) = ( 100 x 694 ) / 34700

GCD(100, 694) = 69400 / 34700

GCD(100, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

GCD of 100, 694, 386 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 897, 892
• GCD of 145, 112, 561
• GCD of 689, 443, 913
• GCD of 796, 931, 919
• GCD of 451, 819, 385

1. What is the GCD of 100, 694, 386?

GCD of 100, 694, 386 is 2

2. Where do I get the detailed procedure to find GCD of 100, 694, 386?

You can find a detailed procedure to find GCD of 100, 694, 386 on our page.

3. How to find GCD of 100, 694, 386 on a calculator?

You can find the GCD of 100, 694, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.