Greatest Common Factor of 8474/372, 8004/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8474/372, 8004/944

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 8474/372,8004/944

Given fractions are 8474/372,8004/944

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 8474,8004

Greatest Common Factor of Numerators i.e. GCF of 8474,8004 is 2 .

LCM of Denominators means LCM of 372,944 as per the given fractions.

LCM of 372,944 is 87792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8474,8004

GCF of Fractions 8474/372,8004/944 is 2/87792

2 8474, 8004
4237, 4002

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

Greatest Common Factor of 8474,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 8474,8004 By Matching Biggest Common Factor Method

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1,2,19,38,223,446,4237,8474

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 8474,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 8474,8004 is 2.

Lets's calculate LCM of 372,944

2 372, 944
2 186, 472
93, 236

∴ So the LCM of the given numbers is 2 x 2 x 93 x 236 = 87792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87792

Therefore, the GCF of Fractions 8474/372,8004/944 is 2/87792

Least Common Multiple of 372,944 with GCF Formula

Least Common Multiple of 372,944 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 372,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,944) = 4

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

GCF(372,944) x common factors =4 x 1 = 4

LCM(372,944) = ( 372 × 944 ) / 4

LCM(372,944) = 351168 / 4

LCM(372,944) = 87792


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 8474/372, 8004/944

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 8474/372, 8004/944?

Answer: GCF of Numerators as per given numbers 8474/372, 8004/944 is

GCF of Numerators i.e. for 8474,8004 is 2

LCM of denominators i.e. for 372,944 is 87792.

Thus, GCF of Fractions is 2/87792.Finally, GCF of Fractions for 8474/372, 8004/944 is 2/87792.