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GCD of 702, 876, 348, 447 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 876, 348, 447 quickly. Get the easiest ways to solve the greatest common divisor of 702, 876, 348, 447 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 876, 348, 447 with Factoring?

Given Input numbers are 702, 876, 348, 447

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447


GCD of numbers is the greatest common divisor

So, the GCD (702, 876, 348, 447) = 3.

Find GCD of 702, 876, 348, 447 using Prime Factorization

Given numbers are 702, 876, 348, 447

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 447 are 3 x 149

The highest common occurrence is 31

Therefore, GCD of 702, 876, 348, 447 is 3.

Steps to Calculate GCD of 702, 876, 348, 447 using LCM Formula

Given numbers are 702, 876, 348, 447

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

Apply this formula for all numbers.

Step1:

LCM(702, 876) = 102492

GCD(702, 876) = ( 702 x 876 ) / 102492

= 702 / 876

= 702


Step2:

LCM(6, 348) = 348

GCD(6, 348) = ( 6 x 348 ) / 348

= 6 / 348

= 6


Step3:

LCM(6, 447) = 894

GCD(6, 447) = ( 6 x 447 ) / 894

= 6 / 447

= 6


So, Greatest Common Divisor of 702, 876, 348, 447 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 876, 348, 447

Given numbers are 702, 876, 348, 447
The greatest common divisor of numbers 702, 876, 348, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 876, 348, 447 is 3.

FAQs on GCD of 702, 876, 348, 447 Calculator

1. What is the GCD of 702, 876, 348, 447?

GCD of given numbers 702, 876, 348, 447 is 3


2. How to calculate the greatest common divisor of 702, 876, 348, 447?

We can find the highest common divisor of 702, 876, 348, 447 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 702, 876, 348, 447 i.e 3.


3. How can I use the GCD of 702, 876, 348, 447Calculator?

Out the numbers 702, 876, 348, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.