Where do I get the detailed procedure to find GCD of 624, 692, 676?

You can find a detailed procedure to find GCD of 624, 692, 676 on our page.

How to find GCD of 624, 692, 676 on a calculator?

You can find the GCD of 624, 692, 676 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 624, 692, 676 Calculator

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

Online GCD Calculator is useful to find the GCD of 624, 692, 676 quickly. Get the easiest ways to solve the greatest common divisor of 624, 692, 676 i.e 4 in different methods as follows.

How to Find GCD of Numbers 624, 692, 676 with Factoring?

Given Input numbers are 624, 692, 676

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (624, 692, 676) = 4.

Find GCD of 624, 692, 676 using Prime Factorization

Given numbers are 624, 692, 676

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 692 are 2 x 2 x 173

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2²

Therefore, GCD of 624, 692, 676 is 4.

Steps to Calculate GCD of 624, 692, 676 using LCM Formula

Given numbers are 624, 692, 676

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

Apply this formula for all numbers.

Step1:

LCM(624, 692) = 107952

GCD(624, 692) = ( 624 x 692 ) / 107952

= 624 / 692

= 624

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 624, 692, 676 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 624, 692, 676

Given numbers are 624, 692, 676
The greatest common divisor of numbers 624, 692, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 692, 676 is 4.

FAQs on GCD of 624, 692, 676 Calculator

1. What is the GCD of 624, 692, 676?

GCD of given numbers 624, 692, 676 is 4

2. How to calculate the greatest common divisor of 624, 692, 676?

We can find the highest common divisor of 624, 692, 676 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 624, 692, 676 i.e 4.

3. How can I use the GCD of 624, 692, 676Calculator?

Out the numbers 624, 692, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.