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GCD of 472, 340, 192, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 340, 192, 660 quickly. Get the easiest ways to solve the greatest common divisor of 472, 340, 192, 660 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 340, 192, 660 with Factoring?

Given Input numbers are 472, 340, 192, 660

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (472, 340, 192, 660) = 4.

Find GCD of 472, 340, 192, 660 using Prime Factorization

Given numbers are 472, 340, 192, 660

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 22

Therefore, GCD of 472, 340, 192, 660 is 4.

Steps to Calculate GCD of 472, 340, 192, 660 using LCM Formula

Given numbers are 472, 340, 192, 660

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

Apply this formula for all numbers.

Step1:

LCM(472, 340) = 40120

GCD(472, 340) = ( 472 x 340 ) / 40120

= 472 / 340

= 472


Step2:

LCM(4, 192) = 192

GCD(4, 192) = ( 4 x 192 ) / 192

= 4 / 192

= 4


Step3:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4


So, Greatest Common Divisor of 472, 340, 192, 660 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 340, 192, 660

Given numbers are 472, 340, 192, 660
The greatest common divisor of numbers 472, 340, 192, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 340, 192, 660 is 4.

FAQs on GCD of 472, 340, 192, 660 Calculator

1. What is the GCD of 472, 340, 192, 660?

GCD of given numbers 472, 340, 192, 660 is 4


2. How to calculate the greatest common divisor of 472, 340, 192, 660?

We can find the highest common divisor of 472, 340, 192, 660 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 472, 340, 192, 660 i.e 4.


3. How can I use the GCD of 472, 340, 192, 660Calculator?

Out the numbers 472, 340, 192, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.