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GCD of 802, 480, 176, 205 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 480, 176, 205 quickly. Get the easiest ways to solve the greatest common divisor of 802, 480, 176, 205 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 480, 176, 205 with Factoring?

Given Input numbers are 802, 480, 176, 205

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205


GCD of numbers is the greatest common divisor

So, the GCD (802, 480, 176, 205) = 1.

Find GCD of 802, 480, 176, 205 using Prime Factorization

Given numbers are 802, 480, 176, 205

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

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

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 205 are 5 x 41

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

Steps to Calculate GCD of 802, 480, 176, 205 using LCM Formula

Given numbers are 802, 480, 176, 205

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

Apply this formula for all numbers.

Step1:

LCM(802, 480) = 192480

GCD(802, 480) = ( 802 x 480 ) / 192480

= 802 / 480

= 802


Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2


Step3:

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

= 2 / 205

= 2


So, Greatest Common Divisor of 802, 480, 176, 205 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 480, 176, 205

Given numbers are 802, 480, 176, 205
The greatest common divisor of numbers 802, 480, 176, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 480, 176, 205 is 1.

FAQs on GCD of 802, 480, 176, 205 Calculator

1. What is the GCD of 802, 480, 176, 205?

GCD of given numbers 802, 480, 176, 205 is 1


2. How to calculate the greatest common divisor of 802, 480, 176, 205?

We can find the highest common divisor of 802, 480, 176, 205 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 802, 480, 176, 205 i.e 1.


3. How can I use the GCD of 802, 480, 176, 205Calculator?

Out the numbers 802, 480, 176, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.