Greatest Common Factor of 9105/751, 3431/9912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9105/751, 3431/9912

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 9105/751,3431/9912

Given fractions are 9105/751,3431/9912

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 9105,3431

Greatest Common Factor of Numerators i.e. GCF of 9105,3431 is 1 .

LCM of Denominators means LCM of 751,9912 as per the given fractions.

LCM of 751,9912 is 7443912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9105,3431

GCF of Fractions 9105/751,3431/9912 is 1/7443912

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9105,3431 By Matching Biggest Common Factor Method

Greatest Common Factor of 9105,3431 By Matching Biggest Common Factor Method

Factors of 9105

List of positive integer factors of 9105 that divides 9105 without a remainder.

1,3,5,15,607,1821,3035,9105

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Greatest Common Factor

We found the factors 9105,3431 . The biggest common factor number is the GCF number.
So the greatest common factor 9105,3431 is 1.

Lets's calculate LCM of 751,9912

Given numbers has no common factors except 1. So, there LCM is their product i.e 7443912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7443912

Therefore, the GCF of Fractions 9105/751,3431/9912 is 1/7443912

Least Common Multiple of 751,9912 with GCF Formula

Least Common Multiple of 751,9912 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 751,9912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,9912) = 1

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

GCF(751,9912) x common factors =1 x 1 = 1

LCM(751,9912) = ( 751 × 9912 ) / 1

LCM(751,9912) = 7443912 / 1

LCM(751,9912) = 7443912


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 9105/751, 3431/9912

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 9105/751, 3431/9912?

Answer: GCF of Numerators as per given numbers 9105/751, 3431/9912 is

GCF of Numerators i.e. for 9105,3431 is 1

LCM of denominators i.e. for 751,9912 is 7443912.

Thus, GCF of Fractions is 1/7443912.Finally, GCF of Fractions for 9105/751, 3431/9912 is 1/7443912.