GCD of 386, 700, 934, 682 Calculator

Given Input numbers are 386, 700, 934, 682

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 682

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

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

Greatest Common Divisior

We found the divisors of 386, 700, 934, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 700, 934, 682 is 2.

Therefore, GCD of numbers 386, 700, 934, 682 is 2

Given Input Data is 386, 700, 934, 682

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 934 is 2 x 467

Prime Factorization of 682 is 2 x 11 x 31

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(386, 700) = 135100

GCD(386, 700) = ( 386 x 700 ) / 135100

GCD(386, 700) = 270200 / 135100

GCD(386, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 386, 700, 934, 682 is 2

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1. What is the GCD of 386, 700, 934, 682?

GCD of 386, 700, 934, 682 is 2

2. Where do I get the detailed procedure to find GCD of 386, 700, 934, 682?

You can find a detailed procedure to find GCD of 386, 700, 934, 682 on our page.

3. How to find GCD of 386, 700, 934, 682 on a calculator?

You can find the GCD of 386, 700, 934, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.