GCD of 682, 358, 634, 946 Calculator

Given Input numbers are 682, 358, 634, 946

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 682, 358, 634, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 358, 634, 946 is 2.

Therefore, GCD of numbers 682, 358, 634, 946 is 2

Given Input Data is 682, 358, 634, 946

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 358 is 2 x 179

Prime Factorization of 634 is 2 x 317

Prime Factorization of 946 is 2 x 11 x 43

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(682, 358) = 122078

GCD(682, 358) = ( 682 x 358 ) / 122078

GCD(682, 358) = 244156 / 122078

GCD(682, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 682, 358, 634, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 548, 471, 541
• GCD of 245, 814, 842, 655
• GCD of 705, 811, 639, 347
• GCD of 472, 833, 663, 747
• GCD of 685, 511, 919, 453

1. What is the GCD of 682, 358, 634, 946?

GCD of 682, 358, 634, 946 is 2

2. Where do I get the detailed procedure to find GCD of 682, 358, 634, 946?

You can find a detailed procedure to find GCD of 682, 358, 634, 946 on our page.

3. How to find GCD of 682, 358, 634, 946 on a calculator?

You can find the GCD of 682, 358, 634, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.