Greatest Common Factor of 9392/114, 9744/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9392/114, 9744/753

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 9392/114,9744/753

Given fractions are 9392/114,9744/753

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 9392,9744

Greatest Common Factor of Numerators i.e. GCF of 9392,9744 is 16 .

LCM of Denominators means LCM of 114,753 as per the given fractions.

LCM of 114,753 is 28614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9392,9744

GCF of Fractions 9392/114,9744/753 is 16/28614

2 9392, 9744
2 4696, 4872
2 2348, 2436
2 1174, 1218
587, 609

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9392,9744 By Matching Biggest Common Factor Method

Greatest Common Factor of 9392,9744 By Matching Biggest Common Factor Method

Factors of 9392

List of positive integer factors of 9392 that divides 9392 without a remainder.

1,2,4,8,16,587,1174,2348,4696,9392

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Greatest Common Factor

We found the factors 9392,9744 . The biggest common factor number is the GCF number.
So the greatest common factor 9392,9744 is 16.

Lets's calculate LCM of 114,753

3 114, 753
38, 251

∴ So the LCM of the given numbers is 3 x 38 x 251 = 28614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/28614

Therefore, the GCF of Fractions 9392/114,9744/753 is 16/28614

Least Common Multiple of 114,753 with GCF Formula

Least Common Multiple of 114,753 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 114,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,753) = 3

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

GCF(114,753) x common factors =3 x 1 = 3

LCM(114,753) = ( 114 × 753 ) / 3

LCM(114,753) = 85842 / 3

LCM(114,753) = 28614


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 9392/114, 9744/753

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 9392/114, 9744/753?

Answer: GCF of Numerators as per given numbers 9392/114, 9744/753 is

GCF of Numerators i.e. for 9392,9744 is 16

LCM of denominators i.e. for 114,753 is 28614.

Thus, GCF of Fractions is 16/28614.Finally, GCF of Fractions for 9392/114, 9744/753 is 16/28614.