GCD of 688, 240, 361, 560 Calculator

Given Input numbers are 688, 240, 361, 560

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

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 688, 240, 361, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 240, 361, 560 is 1.

Therefore, GCD of numbers 688, 240, 361, 560 is 1

Given Input Data is 688, 240, 361, 560

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 361 is 19 x 19

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(688, 240) = 10320

GCD(688, 240) = ( 688 x 240 ) / 10320

GCD(688, 240) = 165120 / 10320

GCD(688, 240) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 361

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

LCM(16, 361) = 5776

GCD(16, 361) = ( 16 x 361 ) / 5776

GCD(16, 361) = 5776 / 5776

GCD(16, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 688, 240, 361, 560 is 1

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• GCD of 819, 268, 983, 157
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1. What is the GCD of 688, 240, 361, 560?

GCD of 688, 240, 361, 560 is 1

2. Where do I get the detailed procedure to find GCD of 688, 240, 361, 560?

You can find a detailed procedure to find GCD of 688, 240, 361, 560 on our page.

3. How to find GCD of 688, 240, 361, 560 on a calculator?

You can find the GCD of 688, 240, 361, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.