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GCD of 352, 628, 432, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 628, 432, 476 quickly. Get the easiest ways to solve the greatest common divisor of 352, 628, 432, 476 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 628, 432, 476 with Factoring?

Given Input numbers are 352, 628, 432, 476

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (352, 628, 432, 476) = 4.

Find GCD of 352, 628, 432, 476 using Prime Factorization

Given numbers are 352, 628, 432, 476

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 628 are 2 x 2 x 157

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 22

Therefore, GCD of 352, 628, 432, 476 is 4.

Steps to Calculate GCD of 352, 628, 432, 476 using LCM Formula

Given numbers are 352, 628, 432, 476

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

Apply this formula for all numbers.

Step1:

LCM(352, 628) = 55264

GCD(352, 628) = ( 352 x 628 ) / 55264

= 352 / 628

= 352


Step2:

LCM(4, 432) = 432

GCD(4, 432) = ( 4 x 432 ) / 432

= 4 / 432

= 4


Step3:

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

= 4 / 476

= 4


So, Greatest Common Divisor of 352, 628, 432, 476 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 628, 432, 476

Given numbers are 352, 628, 432, 476
The greatest common divisor of numbers 352, 628, 432, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 628, 432, 476 is 4.

FAQs on GCD of 352, 628, 432, 476 Calculator

1. What is the GCD of 352, 628, 432, 476?

GCD of given numbers 352, 628, 432, 476 is 4


2. How to calculate the greatest common divisor of 352, 628, 432, 476?

We can find the highest common divisor of 352, 628, 432, 476 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 352, 628, 432, 476 i.e 4.


3. How can I use the GCD of 352, 628, 432, 476Calculator?

Out the numbers 352, 628, 432, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.