Where do I get the detailed procedure to find GCD of 402, 978, 693?

You can find a detailed procedure to find GCD of 402, 978, 693 on our page.

How to find GCD of 402, 978, 693 on a calculator?

You can find the GCD of 402, 978, 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 402, 978, 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 402, 978, 693 quickly. Get the easiest ways to solve the greatest common divisor of 402, 978, 693 i.e 3 in different methods as follows.

How to Find GCD of Numbers 402, 978, 693 with Factoring?

Given Input numbers are 402, 978, 693

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 (402, 978, 693) = 3.

Find GCD of 402, 978, 693 using Prime Factorization

Given numbers are 402, 978, 693

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 978 are 2 x 3 x 163

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

The highest common occurrence is 3¹

Therefore, GCD of 402, 978, 693 is 3.

Steps to Calculate GCD of 402, 978, 693 using LCM Formula

Given numbers are 402, 978, 693

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

Apply this formula for all numbers.

Step1:

LCM(402, 978) = 65526

GCD(402, 978) = ( 402 x 978 ) / 65526

= 402 / 978

= 402

Step2:

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

= 6 / 693

= 6

So, Greatest Common Divisor of 402, 978, 693 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 402, 978, 693

Given numbers are 402, 978, 693
The greatest common divisor of numbers 402, 978, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 978, 693 is 3.

FAQs on GCD of 402, 978, 693 Calculator

1. What is the GCD of 402, 978, 693?

GCD of given numbers 402, 978, 693 is 3

2. How to calculate the greatest common divisor of 402, 978, 693?

We can find the highest common divisor of 402, 978, 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 402, 978, 693 i.e 3.

3. How can I use the GCD of 402, 978, 693Calculator?

Out the numbers 402, 978, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.