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GCD of 225, 111, 982, 107 Calculator

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


Online GCD Calculator is useful to find the GCD of 225, 111, 982, 107 quickly. Get the easiest ways to solve the greatest common divisor of 225, 111, 982, 107 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 225, 111, 982, 107 with Factoring?

Given Input numbers are 225, 111, 982, 107

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

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107


GCD of numbers is the greatest common divisor

So, the GCD (225, 111, 982, 107) = 1.

Find GCD of 225, 111, 982, 107 using Prime Factorization

Given numbers are 225, 111, 982, 107

The list of prime factors of all numbers are

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

Prime factors of 111 are 3 x 37

Prime factors of 982 are 2 x 491

Prime factors of 107 are 107

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

Steps to Calculate GCD of 225, 111, 982, 107 using LCM Formula

Given numbers are 225, 111, 982, 107

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

Apply this formula for all numbers.

Step1:

LCM(225, 111) = 8325

GCD(225, 111) = ( 225 x 111 ) / 8325

= 225 / 111

= 225


Step2:

LCM(3, 982) = 2946

GCD(3, 982) = ( 3 x 982 ) / 2946

= 3 / 982

= 3


Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1


So, Greatest Common Divisor of 225, 111, 982, 107 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 225, 111, 982, 107

Given numbers are 225, 111, 982, 107
The greatest common divisor of numbers 225, 111, 982, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 111, 982, 107 is 1.

FAQs on GCD of 225, 111, 982, 107 Calculator

1. What is the GCD of 225, 111, 982, 107?

GCD of given numbers 225, 111, 982, 107 is 1


2. How to calculate the greatest common divisor of 225, 111, 982, 107?

We can find the highest common divisor of 225, 111, 982, 107 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 225, 111, 982, 107 i.e 1.


3. How can I use the GCD of 225, 111, 982, 107Calculator?

Out the numbers 225, 111, 982, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.