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GCD of 380, 566, 718, 470 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, 566, 718, 470 quickly. Get the easiest ways to solve the greatest common divisor of 380, 566, 718, 470 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 566, 718, 470 with Factoring?

Given Input numbers are 380, 566, 718, 470

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 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470


GCD of numbers is the greatest common divisor

So, the GCD (380, 566, 718, 470) = 2.

Find GCD of 380, 566, 718, 470 using Prime Factorization

Given numbers are 380, 566, 718, 470

The list of prime factors of all numbers are

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

Prime factors of 566 are 2 x 283

Prime factors of 718 are 2 x 359

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 21

Therefore, GCD of 380, 566, 718, 470 is 2.

Steps to Calculate GCD of 380, 566, 718, 470 using LCM Formula

Given numbers are 380, 566, 718, 470

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

Apply this formula for all numbers.

Step1:

LCM(380, 566) = 107540

GCD(380, 566) = ( 380 x 566 ) / 107540

= 380 / 566

= 380


Step2:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2


Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2


So, Greatest Common Divisor of 380, 566, 718, 470 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 566, 718, 470

Given numbers are 380, 566, 718, 470
The greatest common divisor of numbers 380, 566, 718, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 566, 718, 470 is 2.

FAQs on GCD of 380, 566, 718, 470 Calculator

1. What is the GCD of 380, 566, 718, 470?

GCD of given numbers 380, 566, 718, 470 is 2


2. How to calculate the greatest common divisor of 380, 566, 718, 470?

We can find the highest common divisor of 380, 566, 718, 470 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, 566, 718, 470 i.e 2.


3. How can I use the GCD of 380, 566, 718, 470Calculator?

Out the numbers 380, 566, 718, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.