GCD of 410, 357, 735, 721 Calculator

Given Input numbers are 410, 357, 735, 721

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 410, 357, 735, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 357, 735, 721 is 1.

Therefore, GCD of numbers 410, 357, 735, 721 is 1

Given Input Data is 410, 357, 735, 721

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 357 is 3 x 7 x 17

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

Prime Factorization of 721 is 7 x 103

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(410, 357) = 146370

GCD(410, 357) = ( 410 x 357 ) / 146370

GCD(410, 357) = 146370 / 146370

GCD(410, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 410, 357, 735, 721 is 1

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1. What is the GCD of 410, 357, 735, 721?

GCD of 410, 357, 735, 721 is 1

2. Where do I get the detailed procedure to find GCD of 410, 357, 735, 721?

You can find a detailed procedure to find GCD of 410, 357, 735, 721 on our page.

3. How to find GCD of 410, 357, 735, 721 on a calculator?

You can find the GCD of 410, 357, 735, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.