Greatest Common Factor of 884/367, 7488/3347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/367, 7488/3347

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 884/367,7488/3347

Given fractions are 884/367,7488/3347

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 884,7488

Greatest Common Factor of Numerators i.e. GCF of 884,7488 is 52 .

LCM of Denominators means LCM of 367,3347 as per the given fractions.

LCM of 367,3347 is 1228349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,7488

GCF of Fractions 884/367,7488/3347 is 52/1228349

2 884, 7488
2 442, 3744
13 221, 1872
17, 144

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 884,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,7488 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 884,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 884,7488 is 52.

Lets's calculate LCM of 367,3347

Given numbers has no common factors except 1. So, there LCM is their product i.e 1228349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/1228349

Therefore, the GCF of Fractions 884/367,7488/3347 is 52/1228349

Least Common Multiple of 367,3347 with GCF Formula

Least Common Multiple of 367,3347 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 367,3347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,3347) = 1

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

GCF(367,3347) x common factors =1 x 1 = 1

LCM(367,3347) = ( 367 × 3347 ) / 1

LCM(367,3347) = 1228349 / 1

LCM(367,3347) = 1228349


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 884/367, 7488/3347

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 884/367, 7488/3347?

Answer: GCF of Numerators as per given numbers 884/367, 7488/3347 is

GCF of Numerators i.e. for 884,7488 is 52

LCM of denominators i.e. for 367,3347 is 1228349.

Thus, GCF of Fractions is 52/1228349.Finally, GCF of Fractions for 884/367, 7488/3347 is 52/1228349.