GCD of 356, 735, 82, 410 Calculator

Given Input numbers are 356, 735, 82, 410

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 410

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

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

Greatest Common Divisior

We found the divisors of 356, 735, 82, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 735, 82, 410 is 1.

Therefore, GCD of numbers 356, 735, 82, 410 is 1

Given Input Data is 356, 735, 82, 410

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

Prime Factorization of 356 is 2 x 2 x 89

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 410 is 2 x 5 x 41

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(356, 735) = 261660

GCD(356, 735) = ( 356 x 735 ) / 261660

GCD(356, 735) = 261660 / 261660

GCD(356, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 356, 735, 82, 410 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 270, 17, 680
• GCD of 429, 203, 71, 230
• GCD of 557, 467, 90, 380
• GCD of 302, 325, 19, 255
• GCD of 461, 690, 89, 891

1. What is the GCD of 356, 735, 82, 410?

GCD of 356, 735, 82, 410 is 1

2. Where do I get the detailed procedure to find GCD of 356, 735, 82, 410?

You can find a detailed procedure to find GCD of 356, 735, 82, 410 on our page.

3. How to find GCD of 356, 735, 82, 410 on a calculator?

You can find the GCD of 356, 735, 82, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.