GCD of 680, 470, 718, 100 Calculator

Given Input numbers are 680, 470, 718, 100

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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 680, 470, 718, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 470, 718, 100 is 2.

Therefore, GCD of numbers 680, 470, 718, 100 is 2

Given Input Data is 680, 470, 718, 100

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 718 is 2 x 359

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

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(680, 470) = 31960

GCD(680, 470) = ( 680 x 470 ) / 31960

GCD(680, 470) = 319600 / 31960

GCD(680, 470) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 718

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

LCM(10, 718) = 3590

GCD(10, 718) = ( 10 x 718 ) / 3590

GCD(10, 718) = 7180 / 3590

GCD(10, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 680, 470, 718, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 449, 382, 827
• GCD of 516, 261, 861, 959
• GCD of 348, 380, 493, 801
• GCD of 976, 420, 413, 280
• GCD of 762, 395, 607, 690

1. What is the GCD of 680, 470, 718, 100?

GCD of 680, 470, 718, 100 is 2

2. Where do I get the detailed procedure to find GCD of 680, 470, 718, 100?

You can find a detailed procedure to find GCD of 680, 470, 718, 100 on our page.

3. How to find GCD of 680, 470, 718, 100 on a calculator?

You can find the GCD of 680, 470, 718, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.