Greatest Common Factor of 9125/129, 5505/3443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9125/129, 5505/3443

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9125/129,5505/3443

Given fractions are 9125/129,5505/3443

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9125,5505

Greatest Common Factor of Numerators i.e. GCF of 9125,5505 is 5 .

LCM of Denominators means LCM of 129,3443 as per the given fractions.

LCM of 129,3443 is 444147 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9125,5505

GCF of Fractions 9125/129,5505/3443 is 5/444147

5 9125, 5505
1825, 1101

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9125,5505 By Matching Biggest Common Factor Method

Greatest Common Factor of 9125,5505 By Matching Biggest Common Factor Method

Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1,5,25,73,125,365,1825,9125

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors 9125,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,5505 is 5.

Lets's calculate LCM of 129,3443

Given numbers has no common factors except 1. So, there LCM is their product i.e 444147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/444147

Therefore, the GCF of Fractions 9125/129,5505/3443 is 5/444147

Least Common Multiple of 129,3443 with GCF Formula

Least Common Multiple of 129,3443 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 129,3443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,3443) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(129,3443) x common factors =1 x 1 = 1

LCM(129,3443) = ( 129 × 3443 ) / 1

LCM(129,3443) = 444147 / 1

LCM(129,3443) = 444147


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9125/129, 5505/3443

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9125/129, 5505/3443?

Answer: GCF of Numerators as per given numbers 9125/129, 5505/3443 is

GCF of Numerators i.e. for 9125,5505 is 5

LCM of denominators i.e. for 129,3443 is 444147.

Thus, GCF of Fractions is 5/444147.Finally, GCF of Fractions for 9125/129, 5505/3443 is 5/444147.