GCD of 462, 880, 693 Calculator

Given Input numbers are 462, 880, 693

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 462, 880, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 880, 693 is 11.

Therefore, GCD of numbers 462, 880, 693 is 11

Given Input Data is 462, 880, 693

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 693 is 3 x 3 x 7 x 11

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(462, 880) = 18480

GCD(462, 880) = ( 462 x 880 ) / 18480

GCD(462, 880) = 406560 / 18480

GCD(462, 880) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 693

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

LCM(22, 693) = 1386

GCD(22, 693) = ( 22 x 693 ) / 1386

GCD(22, 693) = 15246 / 1386

GCD(22, 693) = 11

GCD of 462, 880, 693 is 11

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1. What is the GCD of 462, 880, 693?

GCD of 462, 880, 693 is 11

2. Where do I get the detailed procedure to find GCD of 462, 880, 693?

You can find a detailed procedure to find GCD of 462, 880, 693 on our page.

3. How to find GCD of 462, 880, 693 on a calculator?

You can find the GCD of 462, 880, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.