GCD of 958, 580, 686 Calculator

Given Input numbers are 958, 580, 686

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 958, 580, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 580, 686 is 2.

Therefore, GCD of numbers 958, 580, 686 is 2

Given Input Data is 958, 580, 686

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(958, 580) = 277820

GCD(958, 580) = ( 958 x 580 ) / 277820

GCD(958, 580) = 555640 / 277820

GCD(958, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 958, 580, 686 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 958, 580, 686?

GCD of 958, 580, 686 is 2

2. Where do I get the detailed procedure to find GCD of 958, 580, 686?

You can find a detailed procedure to find GCD of 958, 580, 686 on our page.

3. How to find GCD of 958, 580, 686 on a calculator?

You can find the GCD of 958, 580, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.