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GCD of 380, 434, 950, 508 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, 434, 950, 508 quickly. Get the easiest ways to solve the greatest common divisor of 380, 434, 950, 508 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 434, 950, 508 with Factoring?

Given Input numbers are 380, 434, 950, 508

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (380, 434, 950, 508) = 2.

Find GCD of 380, 434, 950, 508 using Prime Factorization

Given numbers are 380, 434, 950, 508

The list of prime factors of all numbers are

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 21

Therefore, GCD of 380, 434, 950, 508 is 2.

Steps to Calculate GCD of 380, 434, 950, 508 using LCM Formula

Given numbers are 380, 434, 950, 508

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

Apply this formula for all numbers.

Step1:

LCM(380, 434) = 82460

GCD(380, 434) = ( 380 x 434 ) / 82460

= 380 / 434

= 380


Step2:

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

= 2 / 950

= 2


Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2


So, Greatest Common Divisor of 380, 434, 950, 508 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 434, 950, 508

Given numbers are 380, 434, 950, 508
The greatest common divisor of numbers 380, 434, 950, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 434, 950, 508 is 2.

FAQs on GCD of 380, 434, 950, 508 Calculator

1. What is the GCD of 380, 434, 950, 508?

GCD of given numbers 380, 434, 950, 508 is 2


2. How to calculate the greatest common divisor of 380, 434, 950, 508?

We can find the highest common divisor of 380, 434, 950, 508 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, 434, 950, 508 i.e 2.


3. How can I use the GCD of 380, 434, 950, 508Calculator?

Out the numbers 380, 434, 950, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.