LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 130, 225, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 225, 448 quickly. Get the easiest ways to solve the greatest common divisor of 130, 225, 448 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 225, 448 with Factoring?

Given Input numbers are 130, 225, 448

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (130, 225, 448) = 1.

Find GCD of 130, 225, 448 using Prime Factorization

Given numbers are 130, 225, 448

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 130, 225, 448 using LCM Formula

Given numbers are 130, 225, 448

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

Apply this formula for all numbers.

Step1:

LCM(130, 225) = 5850

GCD(130, 225) = ( 130 x 225 ) / 5850

= 130 / 225

= 130


Step2:

LCM(5, 448) = 2240

GCD(5, 448) = ( 5 x 448 ) / 2240

= 5 / 448

= 5


So, Greatest Common Divisor of 130, 225, 448 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 225, 448

Given numbers are 130, 225, 448
The greatest common divisor of numbers 130, 225, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 225, 448 is 1.

FAQs on GCD of 130, 225, 448 Calculator

1. What is the GCD of 130, 225, 448?

GCD of given numbers 130, 225, 448 is 1


2. How to calculate the greatest common divisor of 130, 225, 448?

We can find the highest common divisor of 130, 225, 448 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 130, 225, 448 i.e 1.


3. How can I use the GCD of 130, 225, 448Calculator?

Out the numbers 130, 225, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.