Greatest Common Factor of 3520/744, 4542/8895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3520/744, 4542/8895

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 3520/744,4542/8895

Given fractions are 3520/744,4542/8895

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 3520,4542

Greatest Common Factor of Numerators i.e. GCF of 3520,4542 is 2 .

LCM of Denominators means LCM of 744,8895 as per the given fractions.

LCM of 744,8895 is 2205960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3520,4542

GCF of Fractions 3520/744,4542/8895 is 2/2205960

2 3520, 4542
1760, 2271

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

Greatest Common Factor of 3520,4542 By Matching Biggest Common Factor Method

Greatest Common Factor of 3520,4542 By Matching Biggest Common Factor Method

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1,2,3,6,757,1514,2271,4542

Greatest Common Factor

We found the factors 3520,4542 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,4542 is 2.

Lets's calculate LCM of 744,8895

3 744, 8895
248, 2965

∴ So the LCM of the given numbers is 3 x 248 x 2965 = 2205960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2205960

Therefore, the GCF of Fractions 3520/744,4542/8895 is 2/2205960

Least Common Multiple of 744,8895 with GCF Formula

Least Common Multiple of 744,8895 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 744,8895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,8895) = 3

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

GCF(744,8895) x common factors =3 x 1 = 3

LCM(744,8895) = ( 744 × 8895 ) / 3

LCM(744,8895) = 6617880 / 3

LCM(744,8895) = 2205960


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 3520/744, 4542/8895

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 3520/744, 4542/8895?

Answer: GCF of Numerators as per given numbers 3520/744, 4542/8895 is

GCF of Numerators i.e. for 3520,4542 is 2

LCM of denominators i.e. for 744,8895 is 2205960.

Thus, GCF of Fractions is 2/2205960.Finally, GCF of Fractions for 3520/744, 4542/8895 is 2/2205960.