GCD of 35, 870, 516, 329 Calculator

Given Input numbers are 35, 870, 516, 329

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 35, 870, 516, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 870, 516, 329 is 1.

Therefore, GCD of numbers 35, 870, 516, 329 is 1

Given Input Data is 35, 870, 516, 329

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 329 is 7 x 47

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(35, 870) = 6090

GCD(35, 870) = ( 35 x 870 ) / 6090

GCD(35, 870) = 30450 / 6090

GCD(35, 870) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 516

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

LCM(5, 516) = 2580

GCD(5, 516) = ( 5 x 516 ) / 2580

GCD(5, 516) = 2580 / 2580

GCD(5, 516) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 35, 870, 516, 329 is 1

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• GCD of 11, 924, 408, 882
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1. What is the GCD of 35, 870, 516, 329?

GCD of 35, 870, 516, 329 is 1

2. Where do I get the detailed procedure to find GCD of 35, 870, 516, 329?

You can find a detailed procedure to find GCD of 35, 870, 516, 329 on our page.

3. How to find GCD of 35, 870, 516, 329 on a calculator?

You can find the GCD of 35, 870, 516, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.