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GCD of 380, 962, 906, 468 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, 962, 906, 468 quickly. Get the easiest ways to solve the greatest common divisor of 380, 962, 906, 468 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 962, 906, 468 with Factoring?

Given Input numbers are 380, 962, 906, 468

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 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468


GCD of numbers is the greatest common divisor

So, the GCD (380, 962, 906, 468) = 2.

Find GCD of 380, 962, 906, 468 using Prime Factorization

Given numbers are 380, 962, 906, 468

The list of prime factors of all numbers are

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

Prime factors of 962 are 2 x 13 x 37

Prime factors of 906 are 2 x 3 x 151

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 380, 962, 906, 468 is 2.

Steps to Calculate GCD of 380, 962, 906, 468 using LCM Formula

Given numbers are 380, 962, 906, 468

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

Apply this formula for all numbers.

Step1:

LCM(380, 962) = 182780

GCD(380, 962) = ( 380 x 962 ) / 182780

= 380 / 962

= 380


Step2:

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

= 2 / 906

= 2


Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2


So, Greatest Common Divisor of 380, 962, 906, 468 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 962, 906, 468

Given numbers are 380, 962, 906, 468
The greatest common divisor of numbers 380, 962, 906, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 962, 906, 468 is 2.

FAQs on GCD of 380, 962, 906, 468 Calculator

1. What is the GCD of 380, 962, 906, 468?

GCD of given numbers 380, 962, 906, 468 is 2


2. How to calculate the greatest common divisor of 380, 962, 906, 468?

We can find the highest common divisor of 380, 962, 906, 468 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, 962, 906, 468 i.e 2.


3. How can I use the GCD of 380, 962, 906, 468Calculator?

Out the numbers 380, 962, 906, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.