GCD of 234, 986, 69, 708 Calculator

Given Input numbers are 234, 986, 69, 708

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 234, 986, 69, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 986, 69, 708 is 1.

Therefore, GCD of numbers 234, 986, 69, 708 is 1

Given Input Data is 234, 986, 69, 708

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 69 is 3 x 23

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(234, 986) = 115362

GCD(234, 986) = ( 234 x 986 ) / 115362

GCD(234, 986) = 230724 / 115362

GCD(234, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 234, 986, 69, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 642, 46, 357
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• GCD of 144, 332, 45, 667
• GCD of 432, 146, 21, 183
• GCD of 663, 296, 20, 719

1. What is the GCD of 234, 986, 69, 708?

GCD of 234, 986, 69, 708 is 1

2. Where do I get the detailed procedure to find GCD of 234, 986, 69, 708?

You can find a detailed procedure to find GCD of 234, 986, 69, 708 on our page.

3. How to find GCD of 234, 986, 69, 708 on a calculator?

You can find the GCD of 234, 986, 69, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.