Greatest Common Factor of 9168/24, 5097/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9168/24, 5097/914

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 9168/24,5097/914

Given fractions are 9168/24,5097/914

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 9168,5097

Greatest Common Factor of Numerators i.e. GCF of 9168,5097 is 3 .

LCM of Denominators means LCM of 24,914 as per the given fractions.

LCM of 24,914 is 10968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9168,5097

GCF of Fractions 9168/24,5097/914 is 3/10968

3 9168, 5097
3056, 1699

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9168,5097 By Matching Biggest Common Factor Method

Greatest Common Factor of 9168,5097 By Matching Biggest Common Factor Method

Factors of 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1,3,1699,5097

Greatest Common Factor

We found the factors 9168,5097 . The biggest common factor number is the GCF number.
So the greatest common factor 9168,5097 is 3.

Lets's calculate LCM of 24,914

2 24, 914
12, 457

∴ So the LCM of the given numbers is 2 x 12 x 457 = 10968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10968

Therefore, the GCF of Fractions 9168/24,5097/914 is 3/10968

Least Common Multiple of 24,914 with GCF Formula

Least Common Multiple of 24,914 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 24,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,914) = 2

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

GCF(24,914) x common factors =2 x 1 = 2

LCM(24,914) = ( 24 × 914 ) / 2

LCM(24,914) = 21936 / 2

LCM(24,914) = 10968


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 9168/24, 5097/914

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 9168/24, 5097/914?

Answer: GCF of Numerators as per given numbers 9168/24, 5097/914 is

GCF of Numerators i.e. for 9168,5097 is 3

LCM of denominators i.e. for 24,914 is 10968.

Thus, GCF of Fractions is 3/10968.Finally, GCF of Fractions for 9168/24, 5097/914 is 3/10968.