GCD of 471, 686, 838, 675 Calculator

Given Input numbers are 471, 686, 838, 675

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 686

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

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 471, 686, 838, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 686, 838, 675 is 1.

Therefore, GCD of numbers 471, 686, 838, 675 is 1

Given Input Data is 471, 686, 838, 675

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

Prime Factorization of 471 is 3 x 157

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(471, 686) = 323106

GCD(471, 686) = ( 471 x 686 ) / 323106

GCD(471, 686) = 323106 / 323106

GCD(471, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 471, 686, 838, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 899, 272, 258
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• GCD of 710, 179, 806, 274
• GCD of 938, 849, 109, 454
• GCD of 413, 720, 792, 633

1. What is the GCD of 471, 686, 838, 675?

GCD of 471, 686, 838, 675 is 1

2. Where do I get the detailed procedure to find GCD of 471, 686, 838, 675?

You can find a detailed procedure to find GCD of 471, 686, 838, 675 on our page.

3. How to find GCD of 471, 686, 838, 675 on a calculator?

You can find the GCD of 471, 686, 838, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.