Greatest Common Factor of 4448/584, 7148/8388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4448/584, 7148/8388

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 4448/584,7148/8388

Given fractions are 4448/584,7148/8388

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 4448,7148

Greatest Common Factor of Numerators i.e. GCF of 4448,7148 is 4 .

LCM of Denominators means LCM of 584,8388 as per the given fractions.

LCM of 584,8388 is 1224648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4448,7148

GCF of Fractions 4448/584,7148/8388 is 4/1224648

2 4448, 7148
2 2224, 3574
1112, 1787

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

Greatest Common Factor of 4448,7148 By Matching Biggest Common Factor Method

Greatest Common Factor of 4448,7148 By Matching Biggest Common Factor Method

Factors of 4448

List of positive integer factors of 4448 that divides 4448 without a remainder.

1,2,4,8,16,32,139,278,556,1112,2224,4448

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors 4448,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 4448,7148 is 4.

Lets's calculate LCM of 584,8388

2 584, 8388
2 292, 4194
146, 2097

∴ So the LCM of the given numbers is 2 x 2 x 146 x 2097 = 1224648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1224648

Therefore, the GCF of Fractions 4448/584,7148/8388 is 4/1224648

Least Common Multiple of 584,8388 with GCF Formula

Least Common Multiple of 584,8388 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 584,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,8388) = 4

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

GCF(584,8388) x common factors =4 x 1 = 4

LCM(584,8388) = ( 584 × 8388 ) / 4

LCM(584,8388) = 4898592 / 4

LCM(584,8388) = 1224648


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 4448/584, 7148/8388

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 4448/584, 7148/8388?

Answer: GCF of Numerators as per given numbers 4448/584, 7148/8388 is

GCF of Numerators i.e. for 4448,7148 is 4

LCM of denominators i.e. for 584,8388 is 1224648.

Thus, GCF of Fractions is 4/1224648.Finally, GCF of Fractions for 4448/584, 7148/8388 is 4/1224648.