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GCD of 495, 795, 413, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 495, 795, 413, 480 quickly. Get the easiest ways to solve the greatest common divisor of 495, 795, 413, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 495, 795, 413, 480 with Factoring?

Given Input numbers are 495, 795, 413, 480

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

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


GCD of numbers is the greatest common divisor

So, the GCD (495, 795, 413, 480) = 1.

Find GCD of 495, 795, 413, 480 using Prime Factorization

Given numbers are 495, 795, 413, 480

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 795 are 3 x 5 x 53

Prime factors of 413 are 7 x 59

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

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

Steps to Calculate GCD of 495, 795, 413, 480 using LCM Formula

Given numbers are 495, 795, 413, 480

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

Apply this formula for all numbers.

Step1:

LCM(495, 795) = 26235

GCD(495, 795) = ( 495 x 795 ) / 26235

= 495 / 795

= 495


Step2:

LCM(15, 413) = 6195

GCD(15, 413) = ( 15 x 413 ) / 6195

= 15 / 413

= 15


Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


So, Greatest Common Divisor of 495, 795, 413, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 495, 795, 413, 480

Given numbers are 495, 795, 413, 480
The greatest common divisor of numbers 495, 795, 413, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 795, 413, 480 is 1.

FAQs on GCD of 495, 795, 413, 480 Calculator

1. What is the GCD of 495, 795, 413, 480?

GCD of given numbers 495, 795, 413, 480 is 1


2. How to calculate the greatest common divisor of 495, 795, 413, 480?

We can find the highest common divisor of 495, 795, 413, 480 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 495, 795, 413, 480 i.e 1.


3. How can I use the GCD of 495, 795, 413, 480Calculator?

Out the numbers 495, 795, 413, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.