GCD of 573, 681, 735 Calculator

Given Input numbers are 573, 681, 735

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 681

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

1, 3, 227, 681

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 573, 681, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 681, 735 is 3.

Therefore, GCD of numbers 573, 681, 735 is 3

Given Input Data is 573, 681, 735

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 681 is 3 x 227

Prime Factorization of 735 is 3 x 5 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(573, 681) = 130071

GCD(573, 681) = ( 573 x 681 ) / 130071

GCD(573, 681) = 390213 / 130071

GCD(573, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

GCD of 573, 681, 735 is 3

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1. What is the GCD of 573, 681, 735?

GCD of 573, 681, 735 is 3

2. Where do I get the detailed procedure to find GCD of 573, 681, 735?

You can find a detailed procedure to find GCD of 573, 681, 735 on our page.

3. How to find GCD of 573, 681, 735 on a calculator?

You can find the GCD of 573, 681, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.