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GCD of 676, 225, 209, 803 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 225, 209, 803 quickly. Get the easiest ways to solve the greatest common divisor of 676, 225, 209, 803 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 225, 209, 803 with Factoring?

Given Input numbers are 676, 225, 209, 803

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 803 :

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

1, 11, 73, 803


GCD of numbers is the greatest common divisor

So, the GCD (676, 225, 209, 803) = 1.

Find GCD of 676, 225, 209, 803 using Prime Factorization

Given numbers are 676, 225, 209, 803

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 209 are 11 x 19

Prime factors of 803 are 11 x 73

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

Steps to Calculate GCD of 676, 225, 209, 803 using LCM Formula

Given numbers are 676, 225, 209, 803

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

Apply this formula for all numbers.

Step1:

LCM(676, 225) = 152100

GCD(676, 225) = ( 676 x 225 ) / 152100

= 676 / 225

= 676


Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1


Step3:

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

= 1 / 803

= 1


So, Greatest Common Divisor of 676, 225, 209, 803 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 225, 209, 803

Given numbers are 676, 225, 209, 803
The greatest common divisor of numbers 676, 225, 209, 803 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 225, 209, 803 is 1.

FAQs on GCD of 676, 225, 209, 803 Calculator

1. What is the GCD of 676, 225, 209, 803?

GCD of given numbers 676, 225, 209, 803 is 1


2. How to calculate the greatest common divisor of 676, 225, 209, 803?

We can find the highest common divisor of 676, 225, 209, 803 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 676, 225, 209, 803 i.e 1.


3. How can I use the GCD of 676, 225, 209, 803Calculator?

Out the numbers 676, 225, 209, 803 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.