GCD of 58, 702, 344, 688 Calculator

Given Input numbers are 58, 702, 344, 688

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 58, 702, 344, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 702, 344, 688 is 2.

Therefore, GCD of numbers 58, 702, 344, 688 is 2

Given Input Data is 58, 702, 344, 688

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 688 is 2 x 2 x 2 x 2 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(58, 702) = 20358

GCD(58, 702) = ( 58 x 702 ) / 20358

GCD(58, 702) = 40716 / 20358

GCD(58, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 58, 702, 344, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 544, 768, 364
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• GCD of 16, 389, 343, 585
• GCD of 20, 118, 974, 541
• GCD of 17, 668, 795, 175

1. What is the GCD of 58, 702, 344, 688?

GCD of 58, 702, 344, 688 is 2

2. Where do I get the detailed procedure to find GCD of 58, 702, 344, 688?

You can find a detailed procedure to find GCD of 58, 702, 344, 688 on our page.

3. How to find GCD of 58, 702, 344, 688 on a calculator?

You can find the GCD of 58, 702, 344, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.