GCD of 741, 966, 870, 231 Calculator

Given Input numbers are 741, 966, 870, 231

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 741, 966, 870, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 966, 870, 231 is 3.

Therefore, GCD of numbers 741, 966, 870, 231 is 3

Given Input Data is 741, 966, 870, 231

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

Prime Factorization of 231 is 3 x 7 x 11

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(741, 966) = 238602

GCD(741, 966) = ( 741 x 966 ) / 238602

GCD(741, 966) = 715806 / 238602

GCD(741, 966) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

GCD of 741, 966, 870, 231 is 3

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1. What is the GCD of 741, 966, 870, 231?

GCD of 741, 966, 870, 231 is 3

2. Where do I get the detailed procedure to find GCD of 741, 966, 870, 231?

You can find a detailed procedure to find GCD of 741, 966, 870, 231 on our page.

3. How to find GCD of 741, 966, 870, 231 on a calculator?

You can find the GCD of 741, 966, 870, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.