GCD of 723, 117, 33, 870 Calculator

Given Input numbers are 723, 117, 33, 870

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 723, 117, 33, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 117, 33, 870 is 3.

Therefore, GCD of numbers 723, 117, 33, 870 is 3

Given Input Data is 723, 117, 33, 870

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 33 is 3 x 11

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(723, 117) = 28197

GCD(723, 117) = ( 723 x 117 ) / 28197

GCD(723, 117) = 84591 / 28197

GCD(723, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 870

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

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

GCD(3, 870) = 2610 / 870

GCD(3, 870) = 3

GCD of 723, 117, 33, 870 is 3

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• GCD of 825, 364, 64, 529
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1. What is the GCD of 723, 117, 33, 870?

GCD of 723, 117, 33, 870 is 3

2. Where do I get the detailed procedure to find GCD of 723, 117, 33, 870?

You can find a detailed procedure to find GCD of 723, 117, 33, 870 on our page.

3. How to find GCD of 723, 117, 33, 870 on a calculator?

You can find the GCD of 723, 117, 33, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.