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GCD of 126, 836, 320, 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 126, 836, 320, 382 quickly. Get the easiest ways to solve the greatest common divisor of 126, 836, 320, 382 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 126, 836, 320, 382 with Factoring?

Given Input numbers are 126, 836, 320, 382

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 (126, 836, 320, 382) = 2.

Find GCD of 126, 836, 320, 382 using Prime Factorization

Given numbers are 126, 836, 320, 382

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 382 are 2 x 191

The highest common occurrence is 21

Therefore, GCD of 126, 836, 320, 382 is 2.

Steps to Calculate GCD of 126, 836, 320, 382 using LCM Formula

Given numbers are 126, 836, 320, 382

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

Apply this formula for all numbers.

Step1:

LCM(126, 836) = 52668

GCD(126, 836) = ( 126 x 836 ) / 52668

= 126 / 836

= 126


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 382) = 382

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

= 2 / 382

= 2


So, Greatest Common Divisor of 126, 836, 320, 382 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 126, 836, 320, 382

Given numbers are 126, 836, 320, 382
The greatest common divisor of numbers 126, 836, 320, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 836, 320, 382 is 2.

FAQs on GCD of 126, 836, 320, 382 Calculator

1. What is the GCD of 126, 836, 320, 382?

GCD of given numbers 126, 836, 320, 382 is 2


2. How to calculate the greatest common divisor of 126, 836, 320, 382?

We can find the highest common divisor of 126, 836, 320, 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 126, 836, 320, 382 i.e 2.


3. How can I use the GCD of 126, 836, 320, 382Calculator?

Out the numbers 126, 836, 320, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.