GCD of 698, 282, 384, 745 Calculator

Given Input numbers are 698, 282, 384, 745

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 698, 282, 384, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 282, 384, 745 is 1.

Therefore, GCD of numbers 698, 282, 384, 745 is 1

Given Input Data is 698, 282, 384, 745

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 745 is 5 x 149

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(698, 282) = 98418

GCD(698, 282) = ( 698 x 282 ) / 98418

GCD(698, 282) = 196836 / 98418

GCD(698, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 698, 282, 384, 745 is 1

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1. What is the GCD of 698, 282, 384, 745?

GCD of 698, 282, 384, 745 is 1

2. Where do I get the detailed procedure to find GCD of 698, 282, 384, 745?

You can find a detailed procedure to find GCD of 698, 282, 384, 745 on our page.

3. How to find GCD of 698, 282, 384, 745 on a calculator?

You can find the GCD of 698, 282, 384, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.