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GCD of 803, 328, 649, 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 803, 328, 649, 480 quickly. Get the easiest ways to solve the greatest common divisor of 803, 328, 649, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 803, 328, 649, 480 with Factoring?

Given Input numbers are 803, 328, 649, 480

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

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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 (803, 328, 649, 480) = 1.

Find GCD of 803, 328, 649, 480 using Prime Factorization

Given numbers are 803, 328, 649, 480

The list of prime factors of all numbers are

Prime factors of 803 are 11 x 73

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 649 are 11 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 803, 328, 649, 480 using LCM Formula

Given numbers are 803, 328, 649, 480

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

Apply this formula for all numbers.

Step1:

LCM(803, 328) = 263384

GCD(803, 328) = ( 803 x 328 ) / 263384

= 803 / 328

= 803


Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1


Step3:

LCM(1, 480) = 480

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

= 1 / 480

= 1


So, Greatest Common Divisor of 803, 328, 649, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 803, 328, 649, 480

Given numbers are 803, 328, 649, 480
The greatest common divisor of numbers 803, 328, 649, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 328, 649, 480 is 1.

FAQs on GCD of 803, 328, 649, 480 Calculator

1. What is the GCD of 803, 328, 649, 480?

GCD of given numbers 803, 328, 649, 480 is 1


2. How to calculate the greatest common divisor of 803, 328, 649, 480?

We can find the highest common divisor of 803, 328, 649, 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 803, 328, 649, 480 i.e 1.


3. How can I use the GCD of 803, 328, 649, 480Calculator?

Out the numbers 803, 328, 649, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.