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GCD of 730, 391, 171, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 391, 171, 132 quickly. Get the easiest ways to solve the greatest common divisor of 730, 391, 171, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 391, 171, 132 with Factoring?

Given Input numbers are 730, 391, 171, 132

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

Divisors of 730 :

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

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

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (730, 391, 171, 132) = 1.

Find GCD of 730, 391, 171, 132 using Prime Factorization

Given numbers are 730, 391, 171, 132

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 391 are 17 x 23

Prime factors of 171 are 3 x 3 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 730, 391, 171, 132 using LCM Formula

Given numbers are 730, 391, 171, 132

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

Apply this formula for all numbers.

Step1:

LCM(730, 391) = 285430

GCD(730, 391) = ( 730 x 391 ) / 285430

= 730 / 391

= 730


Step2:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1


Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1


So, Greatest Common Divisor of 730, 391, 171, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 391, 171, 132

Given numbers are 730, 391, 171, 132
The greatest common divisor of numbers 730, 391, 171, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 391, 171, 132 is 1.

FAQs on GCD of 730, 391, 171, 132 Calculator

1. What is the GCD of 730, 391, 171, 132?

GCD of given numbers 730, 391, 171, 132 is 1


2. How to calculate the greatest common divisor of 730, 391, 171, 132?

We can find the highest common divisor of 730, 391, 171, 132 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 730, 391, 171, 132 i.e 1.


3. How can I use the GCD of 730, 391, 171, 132Calculator?

Out the numbers 730, 391, 171, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.