GCD of 614, 231, 85, 676 Calculator

Given Input numbers are 614, 231, 85, 676

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 614, 231, 85, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 231, 85, 676 is 1.

Therefore, GCD of numbers 614, 231, 85, 676 is 1

Given Input Data is 614, 231, 85, 676

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 85 is 5 x 17

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(614, 231) = 141834

GCD(614, 231) = ( 614 x 231 ) / 141834

GCD(614, 231) = 141834 / 141834

GCD(614, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 614, 231, 85, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 546, 81, 179
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• GCD of 818, 912, 21, 844
• GCD of 673, 291, 21, 707
• GCD of 293, 486, 52, 518

1. What is the GCD of 614, 231, 85, 676?

GCD of 614, 231, 85, 676 is 1

2. Where do I get the detailed procedure to find GCD of 614, 231, 85, 676?

You can find a detailed procedure to find GCD of 614, 231, 85, 676 on our page.

3. How to find GCD of 614, 231, 85, 676 on a calculator?

You can find the GCD of 614, 231, 85, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.