Greatest Common Factor of 5804/44, 3520/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5804/44, 3520/297

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 5804/44,3520/297

Given fractions are 5804/44,3520/297

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 5804,3520

Greatest Common Factor of Numerators i.e. GCF of 5804,3520 is 4 .

LCM of Denominators means LCM of 44,297 as per the given fractions.

LCM of 44,297 is 1188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5804,3520

GCF of Fractions 5804/44,3520/297 is 4/1188

2 5804, 3520
2 2902, 1760
1451, 880

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5804,3520 By Matching Biggest Common Factor Method

Greatest Common Factor of 5804,3520 By Matching Biggest Common Factor Method

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

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

Greatest Common Factor

We found the factors 5804,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,3520 is 4.

Lets's calculate LCM of 44,297

11 44, 297
4, 27

∴ So the LCM of the given numbers is 11 x 4 x 27 = 1188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1188

Therefore, the GCF of Fractions 5804/44,3520/297 is 4/1188

Least Common Multiple of 44,297 with GCF Formula

Least Common Multiple of 44,297 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 44,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,297) = 11

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

GCF(44,297) x common factors =11 x 1 = 11

LCM(44,297) = ( 44 × 297 ) / 11

LCM(44,297) = 13068 / 11

LCM(44,297) = 1188


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 5804/44, 3520/297

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 5804/44, 3520/297?

Answer: GCF of Numerators as per given numbers 5804/44, 3520/297 is

GCF of Numerators i.e. for 5804,3520 is 4

LCM of denominators i.e. for 44,297 is 1188.

Thus, GCF of Fractions is 4/1188.Finally, GCF of Fractions for 5804/44, 3520/297 is 4/1188.