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GCD of 480, 146, 293, 452 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 146, 293, 452 quickly. Get the easiest ways to solve the greatest common divisor of 480, 146, 293, 452 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 146, 293, 452 with Factoring?

Given Input numbers are 480, 146, 293, 452

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

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452


GCD of numbers is the greatest common divisor

So, the GCD (480, 146, 293, 452) = 1.

Find GCD of 480, 146, 293, 452 using Prime Factorization

Given numbers are 480, 146, 293, 452

The list of prime factors of all numbers are

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

Prime factors of 146 are 2 x 73

Prime factors of 293 are 293

Prime factors of 452 are 2 x 2 x 113

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

Steps to Calculate GCD of 480, 146, 293, 452 using LCM Formula

Given numbers are 480, 146, 293, 452

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

Apply this formula for all numbers.

Step1:

LCM(480, 146) = 35040

GCD(480, 146) = ( 480 x 146 ) / 35040

= 480 / 146

= 480


Step2:

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

= 2 / 293

= 2


Step3:

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

= 1 / 452

= 1


So, Greatest Common Divisor of 480, 146, 293, 452 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 146, 293, 452

Given numbers are 480, 146, 293, 452
The greatest common divisor of numbers 480, 146, 293, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 146, 293, 452 is 1.

FAQs on GCD of 480, 146, 293, 452 Calculator

1. What is the GCD of 480, 146, 293, 452?

GCD of given numbers 480, 146, 293, 452 is 1


2. How to calculate the greatest common divisor of 480, 146, 293, 452?

We can find the highest common divisor of 480, 146, 293, 452 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 480, 146, 293, 452 i.e 1.


3. How can I use the GCD of 480, 146, 293, 452Calculator?

Out the numbers 480, 146, 293, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.