GCD of 740, 872, 686 Calculator

Given Input numbers are 740, 872, 686

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 740, 872, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 872, 686 is 2.

Therefore, GCD of numbers 740, 872, 686 is 2

Given Input Data is 740, 872, 686

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(740, 872) = 161320

GCD(740, 872) = ( 740 x 872 ) / 161320

GCD(740, 872) = 645280 / 161320

GCD(740, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 686

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

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

GCD(4, 686) = 2744 / 1372

GCD(4, 686) = 2

GCD of 740, 872, 686 is 2

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1. What is the GCD of 740, 872, 686?

GCD of 740, 872, 686 is 2

2. Where do I get the detailed procedure to find GCD of 740, 872, 686?

You can find a detailed procedure to find GCD of 740, 872, 686 on our page.

3. How to find GCD of 740, 872, 686 on a calculator?

You can find the GCD of 740, 872, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.