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GCD of 796, 610, 138, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 796, 610, 138, 382 quickly. Get the easiest ways to solve the greatest common divisor of 796, 610, 138, 382 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 796, 610, 138, 382 with Factoring?

Given Input numbers are 796, 610, 138, 382

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (796, 610, 138, 382) = 2.

Find GCD of 796, 610, 138, 382 using Prime Factorization

Given numbers are 796, 610, 138, 382

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 610 are 2 x 5 x 61

Prime factors of 138 are 2 x 3 x 23

Prime factors of 382 are 2 x 191

The highest common occurrence is 21

Therefore, GCD of 796, 610, 138, 382 is 2.

Steps to Calculate GCD of 796, 610, 138, 382 using LCM Formula

Given numbers are 796, 610, 138, 382

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

Apply this formula for all numbers.

Step1:

LCM(796, 610) = 242780

GCD(796, 610) = ( 796 x 610 ) / 242780

= 796 / 610

= 796


Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2


Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2


So, Greatest Common Divisor of 796, 610, 138, 382 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 610, 138, 382

Given numbers are 796, 610, 138, 382
The greatest common divisor of numbers 796, 610, 138, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 610, 138, 382 is 2.

FAQs on GCD of 796, 610, 138, 382 Calculator

1. What is the GCD of 796, 610, 138, 382?

GCD of given numbers 796, 610, 138, 382 is 2


2. How to calculate the greatest common divisor of 796, 610, 138, 382?

We can find the highest common divisor of 796, 610, 138, 382 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 796, 610, 138, 382 i.e 2.


3. How can I use the GCD of 796, 610, 138, 382Calculator?

Out the numbers 796, 610, 138, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.