GCD of 660, 835, 698, 271 Calculator

Given Input numbers are 660, 835, 698, 271

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 835

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

1, 5, 167, 835

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 660, 835, 698, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 835, 698, 271 is 1.

Therefore, GCD of numbers 660, 835, 698, 271 is 1

Given Input Data is 660, 835, 698, 271

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 835 is 5 x 167

Prime Factorization of 698 is 2 x 349

Prime Factorization of 271 is 271

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(660, 835) = 110220

GCD(660, 835) = ( 660 x 835 ) / 110220

GCD(660, 835) = 551100 / 110220

GCD(660, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 698

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

LCM(5, 698) = 3490

GCD(5, 698) = ( 5 x 698 ) / 3490

GCD(5, 698) = 3490 / 3490

GCD(5, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 660, 835, 698, 271 is 1

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• GCD of 299, 756, 930, 163
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1. What is the GCD of 660, 835, 698, 271?

GCD of 660, 835, 698, 271 is 1

2. Where do I get the detailed procedure to find GCD of 660, 835, 698, 271?

You can find a detailed procedure to find GCD of 660, 835, 698, 271 on our page.

3. How to find GCD of 660, 835, 698, 271 on a calculator?

You can find the GCD of 660, 835, 698, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.