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GCD of 730, 480, 749, 732 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, 480, 749, 732 quickly. Get the easiest ways to solve the greatest common divisor of 730, 480, 749, 732 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 480, 749, 732 with Factoring?

Given Input numbers are 730, 480, 749, 732

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (730, 480, 749, 732) = 1.

Find GCD of 730, 480, 749, 732 using Prime Factorization

Given numbers are 730, 480, 749, 732

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 749 are 7 x 107

Prime factors of 732 are 2 x 2 x 3 x 61

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

Steps to Calculate GCD of 730, 480, 749, 732 using LCM Formula

Given numbers are 730, 480, 749, 732

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

Apply this formula for all numbers.

Step1:

LCM(730, 480) = 35040

GCD(730, 480) = ( 730 x 480 ) / 35040

= 730 / 480

= 730


Step2:

LCM(10, 749) = 7490

GCD(10, 749) = ( 10 x 749 ) / 7490

= 10 / 749

= 10


Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1


So, Greatest Common Divisor of 730, 480, 749, 732 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 480, 749, 732

Given numbers are 730, 480, 749, 732
The greatest common divisor of numbers 730, 480, 749, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 480, 749, 732 is 1.

FAQs on GCD of 730, 480, 749, 732 Calculator

1. What is the GCD of 730, 480, 749, 732?

GCD of given numbers 730, 480, 749, 732 is 1


2. How to calculate the greatest common divisor of 730, 480, 749, 732?

We can find the highest common divisor of 730, 480, 749, 732 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, 480, 749, 732 i.e 1.


3. How can I use the GCD of 730, 480, 749, 732Calculator?

Out the numbers 730, 480, 749, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.