GCD of 304, 682, 70, 838 Calculator

Given Input numbers are 304, 682, 70, 838

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 838

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

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 304, 682, 70, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 682, 70, 838 is 2.

Therefore, GCD of numbers 304, 682, 70, 838 is 2

Given Input Data is 304, 682, 70, 838

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 838 is 2 x 419

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(304, 682) = 103664

GCD(304, 682) = ( 304 x 682 ) / 103664

GCD(304, 682) = 207328 / 103664

GCD(304, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 304, 682, 70, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 338, 39, 117
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• GCD of 725, 887, 77, 302
• GCD of 978, 349, 55, 664
• GCD of 140, 758, 42, 623

1. What is the GCD of 304, 682, 70, 838?

GCD of 304, 682, 70, 838 is 2

2. Where do I get the detailed procedure to find GCD of 304, 682, 70, 838?

You can find a detailed procedure to find GCD of 304, 682, 70, 838 on our page.

3. How to find GCD of 304, 682, 70, 838 on a calculator?

You can find the GCD of 304, 682, 70, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.