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GCD of 228, 732, 472, 140 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 732, 472, 140 quickly. Get the easiest ways to solve the greatest common divisor of 228, 732, 472, 140 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 732, 472, 140 with Factoring?

Given Input numbers are 228, 732, 472, 140

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 472 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (228, 732, 472, 140) = 4.

Find GCD of 228, 732, 472, 140 using Prime Factorization

Given numbers are 228, 732, 472, 140

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 22

Therefore, GCD of 228, 732, 472, 140 is 4.

Steps to Calculate GCD of 228, 732, 472, 140 using LCM Formula

Given numbers are 228, 732, 472, 140

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

Apply this formula for all numbers.

Step1:

LCM(228, 732) = 13908

GCD(228, 732) = ( 228 x 732 ) / 13908

= 228 / 732

= 228


Step2:

LCM(12, 472) = 1416

GCD(12, 472) = ( 12 x 472 ) / 1416

= 12 / 472

= 12


Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4


So, Greatest Common Divisor of 228, 732, 472, 140 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 732, 472, 140

Given numbers are 228, 732, 472, 140
The greatest common divisor of numbers 228, 732, 472, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 732, 472, 140 is 4.

FAQs on GCD of 228, 732, 472, 140 Calculator

1. What is the GCD of 228, 732, 472, 140?

GCD of given numbers 228, 732, 472, 140 is 4


2. How to calculate the greatest common divisor of 228, 732, 472, 140?

We can find the highest common divisor of 228, 732, 472, 140 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 228, 732, 472, 140 i.e 4.


3. How can I use the GCD of 228, 732, 472, 140Calculator?

Out the numbers 228, 732, 472, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.