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GCD of 628, 476, 652 Calculator

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


Online GCD Calculator is useful to find the GCD of 628, 476, 652 quickly. Get the easiest ways to solve the greatest common divisor of 628, 476, 652 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 476, 652 with Factoring?

Given Input numbers are 628, 476, 652

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

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652


GCD of numbers is the greatest common divisor

So, the GCD (628, 476, 652) = 4.

Find GCD of 628, 476, 652 using Prime Factorization

Given numbers are 628, 476, 652

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 22

Therefore, GCD of 628, 476, 652 is 4.

Steps to Calculate GCD of 628, 476, 652 using LCM Formula

Given numbers are 628, 476, 652

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

Apply this formula for all numbers.

Step1:

LCM(628, 476) = 74732

GCD(628, 476) = ( 628 x 476 ) / 74732

= 628 / 476

= 628


Step2:

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

= 4 / 652

= 4


So, Greatest Common Divisor of 628, 476, 652 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 476, 652

Given numbers are 628, 476, 652
The greatest common divisor of numbers 628, 476, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 476, 652 is 4.

FAQs on GCD of 628, 476, 652 Calculator

1. What is the GCD of 628, 476, 652?

GCD of given numbers 628, 476, 652 is 4


2. How to calculate the greatest common divisor of 628, 476, 652?

We can find the highest common divisor of 628, 476, 652 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 628, 476, 652 i.e 4.


3. How can I use the GCD of 628, 476, 652Calculator?

Out the numbers 628, 476, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.