GCD of 835, 754, 650, 214 Calculator

Given Input numbers are 835, 754, 650, 214

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

Divisors of 835

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

1, 5, 167, 835

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 835, 754, 650, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 754, 650, 214 is 1.

Therefore, GCD of numbers 835, 754, 650, 214 is 1

Given Input Data is 835, 754, 650, 214

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 214 is 2 x 107

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(835, 754) = 629590

GCD(835, 754) = ( 835 x 754 ) / 629590

GCD(835, 754) = 629590 / 629590

GCD(835, 754) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 835, 754, 650, 214 is 1

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• GCD of 229, 190, 117, 689
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• GCD of 497, 560, 981, 215

1. What is the GCD of 835, 754, 650, 214?

GCD of 835, 754, 650, 214 is 1

2. Where do I get the detailed procedure to find GCD of 835, 754, 650, 214?

You can find a detailed procedure to find GCD of 835, 754, 650, 214 on our page.

3. How to find GCD of 835, 754, 650, 214 on a calculator?

You can find the GCD of 835, 754, 650, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.