GCD of 626, 834, 714, 218 Calculator

Given Input numbers are 626, 834, 714, 218

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 626, 834, 714, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 834, 714, 218 is 2.

Therefore, GCD of numbers 626, 834, 714, 218 is 2

Given Input Data is 626, 834, 714, 218

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 218 is 2 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(626, 834) = 261042

GCD(626, 834) = ( 626 x 834 ) / 261042

GCD(626, 834) = 522084 / 261042

GCD(626, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 626, 834, 714, 218 is 2

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• GCD of 418, 198, 962, 396
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• GCD of 143, 855, 893, 476

1. What is the GCD of 626, 834, 714, 218?

GCD of 626, 834, 714, 218 is 2

2. Where do I get the detailed procedure to find GCD of 626, 834, 714, 218?

You can find a detailed procedure to find GCD of 626, 834, 714, 218 on our page.

3. How to find GCD of 626, 834, 714, 218 on a calculator?

You can find the GCD of 626, 834, 714, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.