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GCD of 392, 330, 142, 470 Calculator

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


Online GCD Calculator is useful to find the GCD of 392, 330, 142, 470 quickly. Get the easiest ways to solve the greatest common divisor of 392, 330, 142, 470 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 330, 142, 470 with Factoring?

Given Input numbers are 392, 330, 142, 470

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470


GCD of numbers is the greatest common divisor

So, the GCD (392, 330, 142, 470) = 2.

Find GCD of 392, 330, 142, 470 using Prime Factorization

Given numbers are 392, 330, 142, 470

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 142 are 2 x 71

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 21

Therefore, GCD of 392, 330, 142, 470 is 2.

Steps to Calculate GCD of 392, 330, 142, 470 using LCM Formula

Given numbers are 392, 330, 142, 470

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

Apply this formula for all numbers.

Step1:

LCM(392, 330) = 64680

GCD(392, 330) = ( 392 x 330 ) / 64680

= 392 / 330

= 392


Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2


Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2


So, Greatest Common Divisor of 392, 330, 142, 470 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 330, 142, 470

Given numbers are 392, 330, 142, 470
The greatest common divisor of numbers 392, 330, 142, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 330, 142, 470 is 2.

FAQs on GCD of 392, 330, 142, 470 Calculator

1. What is the GCD of 392, 330, 142, 470?

GCD of given numbers 392, 330, 142, 470 is 2


2. How to calculate the greatest common divisor of 392, 330, 142, 470?

We can find the highest common divisor of 392, 330, 142, 470 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 392, 330, 142, 470 i.e 2.


3. How can I use the GCD of 392, 330, 142, 470Calculator?

Out the numbers 392, 330, 142, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.