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GCD of 382, 260, 964, 302 Calculator

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


Online GCD Calculator is useful to find the GCD of 382, 260, 964, 302 quickly. Get the easiest ways to solve the greatest common divisor of 382, 260, 964, 302 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 260, 964, 302 with Factoring?

Given Input numbers are 382, 260, 964, 302

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

Divisors of 382 :

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

1, 2, 191, 382

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302


GCD of numbers is the greatest common divisor

So, the GCD (382, 260, 964, 302) = 2.

Find GCD of 382, 260, 964, 302 using Prime Factorization

Given numbers are 382, 260, 964, 302

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 964 are 2 x 2 x 241

Prime factors of 302 are 2 x 151

The highest common occurrence is 21

Therefore, GCD of 382, 260, 964, 302 is 2.

Steps to Calculate GCD of 382, 260, 964, 302 using LCM Formula

Given numbers are 382, 260, 964, 302

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

Apply this formula for all numbers.

Step1:

LCM(382, 260) = 49660

GCD(382, 260) = ( 382 x 260 ) / 49660

= 382 / 260

= 382


Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2


Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2


So, Greatest Common Divisor of 382, 260, 964, 302 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 260, 964, 302

Given numbers are 382, 260, 964, 302
The greatest common divisor of numbers 382, 260, 964, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 260, 964, 302 is 2.

FAQs on GCD of 382, 260, 964, 302 Calculator

1. What is the GCD of 382, 260, 964, 302?

GCD of given numbers 382, 260, 964, 302 is 2


2. How to calculate the greatest common divisor of 382, 260, 964, 302?

We can find the highest common divisor of 382, 260, 964, 302 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 382, 260, 964, 302 i.e 2.


3. How can I use the GCD of 382, 260, 964, 302Calculator?

Out the numbers 382, 260, 964, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.