GCD of 214, 826, 835, 958 Calculator

Given Input numbers are 214, 826, 835, 958

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 958

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

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 214, 826, 835, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 826, 835, 958 is 1.

Therefore, GCD of numbers 214, 826, 835, 958 is 1

Given Input Data is 214, 826, 835, 958

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 835 is 5 x 167

Prime Factorization of 958 is 2 x 479

The above numbers do not have any common prime factor. So GCD is 1

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(214, 826) = 88382

GCD(214, 826) = ( 214 x 826 ) / 88382

GCD(214, 826) = 176764 / 88382

GCD(214, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 214, 826, 835, 958 is 1

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1. What is the GCD of 214, 826, 835, 958?

GCD of 214, 826, 835, 958 is 1

2. Where do I get the detailed procedure to find GCD of 214, 826, 835, 958?

You can find a detailed procedure to find GCD of 214, 826, 835, 958 on our page.

3. How to find GCD of 214, 826, 835, 958 on a calculator?

You can find the GCD of 214, 826, 835, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.