LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 628, 538, 388, 350 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, 538, 388, 350 quickly. Get the easiest ways to solve the greatest common divisor of 628, 538, 388, 350 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 538, 388, 350 with Factoring?

Given Input numbers are 628, 538, 388, 350

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350


GCD of numbers is the greatest common divisor

So, the GCD (628, 538, 388, 350) = 2.

Find GCD of 628, 538, 388, 350 using Prime Factorization

Given numbers are 628, 538, 388, 350

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 538 are 2 x 269

Prime factors of 388 are 2 x 2 x 97

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 628, 538, 388, 350 is 2.

Steps to Calculate GCD of 628, 538, 388, 350 using LCM Formula

Given numbers are 628, 538, 388, 350

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

Apply this formula for all numbers.

Step1:

LCM(628, 538) = 168932

GCD(628, 538) = ( 628 x 538 ) / 168932

= 628 / 538

= 628


Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2


Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2


So, Greatest Common Divisor of 628, 538, 388, 350 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 538, 388, 350

Given numbers are 628, 538, 388, 350
The greatest common divisor of numbers 628, 538, 388, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 538, 388, 350 is 2.

FAQs on GCD of 628, 538, 388, 350 Calculator

1. What is the GCD of 628, 538, 388, 350?

GCD of given numbers 628, 538, 388, 350 is 2


2. How to calculate the greatest common divisor of 628, 538, 388, 350?

We can find the highest common divisor of 628, 538, 388, 350 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, 538, 388, 350 i.e 2.


3. How can I use the GCD of 628, 538, 388, 350Calculator?

Out the numbers 628, 538, 388, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.