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GCD of 364, 772, 886, 268 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 772, 886, 268 quickly. Get the easiest ways to solve the greatest common divisor of 364, 772, 886, 268 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 772, 886, 268 with Factoring?

Given Input numbers are 364, 772, 886, 268

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268


GCD of numbers is the greatest common divisor

So, the GCD (364, 772, 886, 268) = 2.

Find GCD of 364, 772, 886, 268 using Prime Factorization

Given numbers are 364, 772, 886, 268

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 772 are 2 x 2 x 193

Prime factors of 886 are 2 x 443

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 21

Therefore, GCD of 364, 772, 886, 268 is 2.

Steps to Calculate GCD of 364, 772, 886, 268 using LCM Formula

Given numbers are 364, 772, 886, 268

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

Apply this formula for all numbers.

Step1:

LCM(364, 772) = 70252

GCD(364, 772) = ( 364 x 772 ) / 70252

= 364 / 772

= 364


Step2:

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

= 4 / 886

= 4


Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2


So, Greatest Common Divisor of 364, 772, 886, 268 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 772, 886, 268

Given numbers are 364, 772, 886, 268
The greatest common divisor of numbers 364, 772, 886, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 772, 886, 268 is 2.

FAQs on GCD of 364, 772, 886, 268 Calculator

1. What is the GCD of 364, 772, 886, 268?

GCD of given numbers 364, 772, 886, 268 is 2


2. How to calculate the greatest common divisor of 364, 772, 886, 268?

We can find the highest common divisor of 364, 772, 886, 268 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 364, 772, 886, 268 i.e 2.


3. How can I use the GCD of 364, 772, 886, 268Calculator?

Out the numbers 364, 772, 886, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.