GCD of 435, 317, 82, 740 Calculator

Given Input numbers are 435, 317, 82, 740

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 82

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

1, 2, 41, 82

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 435, 317, 82, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 317, 82, 740 is 1.

Therefore, GCD of numbers 435, 317, 82, 740 is 1

Given Input Data is 435, 317, 82, 740

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 317 is 317

Prime Factorization of 82 is 2 x 41

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(435, 317) = 137895

GCD(435, 317) = ( 435 x 317 ) / 137895

GCD(435, 317) = 137895 / 137895

GCD(435, 317) = 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 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 435, 317, 82, 740 is 1

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1. What is the GCD of 435, 317, 82, 740?

GCD of 435, 317, 82, 740 is 1

2. Where do I get the detailed procedure to find GCD of 435, 317, 82, 740?

You can find a detailed procedure to find GCD of 435, 317, 82, 740 on our page.

3. How to find GCD of 435, 317, 82, 740 on a calculator?

You can find the GCD of 435, 317, 82, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.