Where do I get the detailed procedure to find GCD of 462, 869, 693?

You can find a detailed procedure to find GCD of 462, 869, 693 on our page.

How to find GCD of 462, 869, 693 on a calculator?

You can find the GCD of 462, 869, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 462, 869, 693 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 462, 869, 693 quickly. Get the easiest ways to solve the greatest common divisor of 462, 869, 693 i.e 11 in different methods as follows.

How to Find GCD of Numbers 462, 869, 693 with Factoring?

Given Input numbers are 462, 869, 693

In the factoring method, we have to find the divisors of all numbers

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

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

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 869, 693) = 11.

Find GCD of 462, 869, 693 using Prime Factorization

Given numbers are 462, 869, 693

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 869 are 11 x 79

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 11¹

Therefore, GCD of 462, 869, 693 is 11.

Steps to Calculate GCD of 462, 869, 693 using LCM Formula

Given numbers are 462, 869, 693

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(462, 869) = 36498

GCD(462, 869) = ( 462 x 869 ) / 36498

= 462 / 869

= 462

Step2:

LCM(11, 693) = 693

GCD(11, 693) = ( 11 x 693 ) / 693

= 11 / 693

= 11

So, Greatest Common Divisor of 462, 869, 693 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 462, 869, 693

Given numbers are 462, 869, 693
The greatest common divisor of numbers 462, 869, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 869, 693 is 11.

FAQs on GCD of 462, 869, 693 Calculator

1. What is the GCD of 462, 869, 693?

GCD of given numbers 462, 869, 693 is 11

2. How to calculate the greatest common divisor of 462, 869, 693?

We can find the highest common divisor of 462, 869, 693 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 462, 869, 693 i.e 11.

3. How can I use the GCD of 462, 869, 693Calculator?

Out the numbers 462, 869, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.