GCD of 704, 418, 758 Calculator

Given Input numbers are 704, 418, 758

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 704, 418, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 418, 758 is 2.

Therefore, GCD of numbers 704, 418, 758 is 2

Given Input Data is 704, 418, 758

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 758 is 2 x 379

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(704, 418) = 13376

GCD(704, 418) = ( 704 x 418 ) / 13376

GCD(704, 418) = 294272 / 13376

GCD(704, 418) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 758

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

LCM(22, 758) = 8338

GCD(22, 758) = ( 22 x 758 ) / 8338

GCD(22, 758) = 16676 / 8338

GCD(22, 758) = 2

GCD of 704, 418, 758 is 2

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• GCD of 776, 793, 883
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1. What is the GCD of 704, 418, 758?

GCD of 704, 418, 758 is 2

2. Where do I get the detailed procedure to find GCD of 704, 418, 758?

You can find a detailed procedure to find GCD of 704, 418, 758 on our page.

3. How to find GCD of 704, 418, 758 on a calculator?

You can find the GCD of 704, 418, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.