Greatest Common Factor of 4494/896, 9562/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4494/896, 9562/734

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 4494/896,9562/734

Given fractions are 4494/896,9562/734

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 4494,9562

Greatest Common Factor of Numerators i.e. GCF of 4494,9562 is 14 .

LCM of Denominators means LCM of 896,734 as per the given fractions.

LCM of 896,734 is 328832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4494,9562

GCF of Fractions 4494/896,9562/734 is 14/328832

2 4494, 9562
7 2247, 4781
321, 683

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4494,9562 By Matching Biggest Common Factor Method

Greatest Common Factor of 4494,9562 By Matching Biggest Common Factor Method

Factors of 4494

List of positive integer factors of 4494 that divides 4494 without a remainder.

1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1,2,7,14,683,1366,4781,9562

Greatest Common Factor

We found the factors 4494,9562 . The biggest common factor number is the GCF number.
So the greatest common factor 4494,9562 is 14.

Lets's calculate LCM of 896,734

2 896, 734
448, 367

∴ So the LCM of the given numbers is 2 x 448 x 367 = 328832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/328832

Therefore, the GCF of Fractions 4494/896,9562/734 is 14/328832

Least Common Multiple of 896,734 with GCF Formula

Least Common Multiple of 896,734 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 896,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,734) = 2

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

GCF(896,734) x common factors =2 x 1 = 2

LCM(896,734) = ( 896 × 734 ) / 2

LCM(896,734) = 657664 / 2

LCM(896,734) = 328832


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 4494/896, 9562/734

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 4494/896, 9562/734?

Answer: GCF of Numerators as per given numbers 4494/896, 9562/734 is

GCF of Numerators i.e. for 4494,9562 is 14

LCM of denominators i.e. for 896,734 is 328832.

Thus, GCF of Fractions is 14/328832.Finally, GCF of Fractions for 4494/896, 9562/734 is 14/328832.