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GCD of 825, 187, 281, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 187, 281, 676 quickly. Get the easiest ways to solve the greatest common divisor of 825, 187, 281, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 187, 281, 676 with Factoring?

Given Input numbers are 825, 187, 281, 676

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 281 :

The positive integer divisors of 281 that completely divides 281 are.

1, 281

Divisors of 676 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (825, 187, 281, 676) = 1.

Find GCD of 825, 187, 281, 676 using Prime Factorization

Given numbers are 825, 187, 281, 676

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 187 are 11 x 17

Prime factors of 281 are 281

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

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

Steps to Calculate GCD of 825, 187, 281, 676 using LCM Formula

Given numbers are 825, 187, 281, 676

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

Apply this formula for all numbers.

Step1:

LCM(825, 187) = 14025

GCD(825, 187) = ( 825 x 187 ) / 14025

= 825 / 187

= 825


Step2:

LCM(11, 281) = 3091

GCD(11, 281) = ( 11 x 281 ) / 3091

= 11 / 281

= 11


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 825, 187, 281, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 187, 281, 676

Given numbers are 825, 187, 281, 676
The greatest common divisor of numbers 825, 187, 281, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 187, 281, 676 is 1.

FAQs on GCD of 825, 187, 281, 676 Calculator

1. What is the GCD of 825, 187, 281, 676?

GCD of given numbers 825, 187, 281, 676 is 1


2. How to calculate the greatest common divisor of 825, 187, 281, 676?

We can find the highest common divisor of 825, 187, 281, 676 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 825, 187, 281, 676 i.e 1.


3. How can I use the GCD of 825, 187, 281, 676Calculator?

Out the numbers 825, 187, 281, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.