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GCD of 380, 133, 540, 524 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, 133, 540, 524 quickly. Get the easiest ways to solve the greatest common divisor of 380, 133, 540, 524 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 133, 540, 524 with Factoring?

Given Input numbers are 380, 133, 540, 524

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 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524


GCD of numbers is the greatest common divisor

So, the GCD (380, 133, 540, 524) = 1.

Find GCD of 380, 133, 540, 524 using Prime Factorization

Given numbers are 380, 133, 540, 524

The list of prime factors of all numbers are

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

Prime factors of 133 are 7 x 19

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 524 are 2 x 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 380, 133, 540, 524 using LCM Formula

Given numbers are 380, 133, 540, 524

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

Apply this formula for all numbers.

Step1:

LCM(380, 133) = 2660

GCD(380, 133) = ( 380 x 133 ) / 2660

= 380 / 133

= 380


Step2:

LCM(19, 540) = 10260

GCD(19, 540) = ( 19 x 540 ) / 10260

= 19 / 540

= 19


Step3:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1


So, Greatest Common Divisor of 380, 133, 540, 524 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 133, 540, 524

Given numbers are 380, 133, 540, 524
The greatest common divisor of numbers 380, 133, 540, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 133, 540, 524 is 1.

FAQs on GCD of 380, 133, 540, 524 Calculator

1. What is the GCD of 380, 133, 540, 524?

GCD of given numbers 380, 133, 540, 524 is 1


2. How to calculate the greatest common divisor of 380, 133, 540, 524?

We can find the highest common divisor of 380, 133, 540, 524 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, 133, 540, 524 i.e 1.


3. How can I use the GCD of 380, 133, 540, 524Calculator?

Out the numbers 380, 133, 540, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.