GCD of 35, 550, 809, 870 Calculator

Given Input numbers are 35, 550, 809, 870

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

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

Greatest Common Divisior

We found the divisors of 35, 550, 809, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 550, 809, 870 is 1.

Therefore, GCD of numbers 35, 550, 809, 870 is 1

Given Input Data is 35, 550, 809, 870

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 809 is 809

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

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, 550) = 3850

GCD(35, 550) = ( 35 x 550 ) / 3850

GCD(35, 550) = 19250 / 3850

GCD(35, 550) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 809

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

LCM(5, 809) = 4045

GCD(5, 809) = ( 5 x 809 ) / 4045

GCD(5, 809) = 4045 / 4045

GCD(5, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 35, 550, 809, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 280, 586, 143
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• GCD of 31, 689, 291, 697

1. What is the GCD of 35, 550, 809, 870?

GCD of 35, 550, 809, 870 is 1

2. Where do I get the detailed procedure to find GCD of 35, 550, 809, 870?

You can find a detailed procedure to find GCD of 35, 550, 809, 870 on our page.

3. How to find GCD of 35, 550, 809, 870 on a calculator?

You can find the GCD of 35, 550, 809, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.