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GCD of 380, 844, 730, 956 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 844, 730, 956 quickly. Get the easiest ways to solve the greatest common divisor of 380, 844, 730, 956 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 844, 730, 956 with Factoring?

Given Input numbers are 380, 844, 730, 956

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (380, 844, 730, 956) = 2.

Find GCD of 380, 844, 730, 956 using Prime Factorization

Given numbers are 380, 844, 730, 956

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 844 are 2 x 2 x 211

Prime factors of 730 are 2 x 5 x 73

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 21

Therefore, GCD of 380, 844, 730, 956 is 2.

Steps to Calculate GCD of 380, 844, 730, 956 using LCM Formula

Given numbers are 380, 844, 730, 956

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

Apply this formula for all numbers.

Step1:

LCM(380, 844) = 80180

GCD(380, 844) = ( 380 x 844 ) / 80180

= 380 / 844

= 380


Step2:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4


Step3:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2


So, Greatest Common Divisor of 380, 844, 730, 956 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 844, 730, 956

Given numbers are 380, 844, 730, 956
The greatest common divisor of numbers 380, 844, 730, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 844, 730, 956 is 2.

FAQs on GCD of 380, 844, 730, 956 Calculator

1. What is the GCD of 380, 844, 730, 956?

GCD of given numbers 380, 844, 730, 956 is 2


2. How to calculate the greatest common divisor of 380, 844, 730, 956?

We can find the highest common divisor of 380, 844, 730, 956 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 380, 844, 730, 956 i.e 2.


3. How can I use the GCD of 380, 844, 730, 956Calculator?

Out the numbers 380, 844, 730, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.