GCD of 465, 666, 741 Calculator

Given Input numbers are 465, 666, 741

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 741

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

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

Greatest Common Divisior

We found the divisors of 465, 666, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 666, 741 is 3.

Therefore, GCD of numbers 465, 666, 741 is 3

Given Input Data is 465, 666, 741

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 741 is 3 x 13 x 19

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(465, 666) = 103230

GCD(465, 666) = ( 465 x 666 ) / 103230

GCD(465, 666) = 309690 / 103230

GCD(465, 666) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 741

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

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

GCD(3, 741) = 2223 / 741

GCD(3, 741) = 3

GCD of 465, 666, 741 is 3

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• GCD of 579, 711, 280
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1. What is the GCD of 465, 666, 741?

GCD of 465, 666, 741 is 3

2. Where do I get the detailed procedure to find GCD of 465, 666, 741?

You can find a detailed procedure to find GCD of 465, 666, 741 on our page.

3. How to find GCD of 465, 666, 741 on a calculator?

You can find the GCD of 465, 666, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.