Where do I get the detailed procedure to find GCD of 746, 182, 676?

You can find a detailed procedure to find GCD of 746, 182, 676 on our page.

How to find GCD of 746, 182, 676 on a calculator?

You can find the GCD of 746, 182, 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 746, 182, 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 746, 182, 676 quickly. Get the easiest ways to solve the greatest common divisor of 746, 182, 676 i.e 2 in different methods as follows.

How to Find GCD of Numbers 746, 182, 676 with Factoring?

Given Input numbers are 746, 182, 676

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

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 (746, 182, 676) = 2.

Find GCD of 746, 182, 676 using Prime Factorization

Given numbers are 746, 182, 676

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 182 are 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 746, 182, 676 is 2.

Steps to Calculate GCD of 746, 182, 676 using LCM Formula

Given numbers are 746, 182, 676

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

Apply this formula for all numbers.

Step1:

LCM(746, 182) = 67886

GCD(746, 182) = ( 746 x 182 ) / 67886

= 746 / 182

= 746

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 746, 182, 676 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 746, 182, 676

Given numbers are 746, 182, 676
The greatest common divisor of numbers 746, 182, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 182, 676 is 2.

FAQs on GCD of 746, 182, 676 Calculator

1. What is the GCD of 746, 182, 676?

GCD of given numbers 746, 182, 676 is 2

2. How to calculate the greatest common divisor of 746, 182, 676?

We can find the highest common divisor of 746, 182, 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 746, 182, 676 i.e 2.

3. How can I use the GCD of 746, 182, 676Calculator?

Out the numbers 746, 182, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.