GCD of 117, 704, 734, 681 Calculator

Given Input numbers are 117, 704, 734, 681

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 117, 704, 734, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 704, 734, 681 is 1.

Therefore, GCD of numbers 117, 704, 734, 681 is 1

Given Input Data is 117, 704, 734, 681

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

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 681 is 3 x 227

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(117, 704) = 82368

GCD(117, 704) = ( 117 x 704 ) / 82368

GCD(117, 704) = 82368 / 82368

GCD(117, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 117, 704, 734, 681 is 1

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1. What is the GCD of 117, 704, 734, 681?

GCD of 117, 704, 734, 681 is 1

2. Where do I get the detailed procedure to find GCD of 117, 704, 734, 681?

You can find a detailed procedure to find GCD of 117, 704, 734, 681 on our page.

3. How to find GCD of 117, 704, 734, 681 on a calculator?

You can find the GCD of 117, 704, 734, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.