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GCD of 628, 514, 834, 710 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, 514, 834, 710 quickly. Get the easiest ways to solve the greatest common divisor of 628, 514, 834, 710 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 514, 834, 710 with Factoring?

Given Input numbers are 628, 514, 834, 710

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (628, 514, 834, 710) = 2.

Find GCD of 628, 514, 834, 710 using Prime Factorization

Given numbers are 628, 514, 834, 710

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 514 are 2 x 257

Prime factors of 834 are 2 x 3 x 139

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 21

Therefore, GCD of 628, 514, 834, 710 is 2.

Steps to Calculate GCD of 628, 514, 834, 710 using LCM Formula

Given numbers are 628, 514, 834, 710

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

Apply this formula for all numbers.

Step1:

LCM(628, 514) = 161396

GCD(628, 514) = ( 628 x 514 ) / 161396

= 628 / 514

= 628


Step2:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2


Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2


So, Greatest Common Divisor of 628, 514, 834, 710 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 514, 834, 710

Given numbers are 628, 514, 834, 710
The greatest common divisor of numbers 628, 514, 834, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 514, 834, 710 is 2.

FAQs on GCD of 628, 514, 834, 710 Calculator

1. What is the GCD of 628, 514, 834, 710?

GCD of given numbers 628, 514, 834, 710 is 2


2. How to calculate the greatest common divisor of 628, 514, 834, 710?

We can find the highest common divisor of 628, 514, 834, 710 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, 514, 834, 710 i.e 2.


3. How can I use the GCD of 628, 514, 834, 710Calculator?

Out the numbers 628, 514, 834, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.