Greatest Common Factor of 6648/504, 4412/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6648/504, 4412/476

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 6648/504,4412/476

Given fractions are 6648/504,4412/476

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 6648,4412

Greatest Common Factor of Numerators i.e. GCF of 6648,4412 is 4 .

LCM of Denominators means LCM of 504,476 as per the given fractions.

LCM of 504,476 is 8568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6648,4412

GCF of Fractions 6648/504,4412/476 is 4/8568

2 6648, 4412
2 3324, 2206
1662, 1103

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

Greatest Common Factor of 6648,4412 By Matching Biggest Common Factor Method

Greatest Common Factor of 6648,4412 By Matching Biggest Common Factor Method

Factors of 6648

List of positive integer factors of 6648 that divides 6648 without a remainder.

1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1,2,4,1103,2206,4412

Greatest Common Factor

We found the factors 6648,4412 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,4412 is 4.

Lets's calculate LCM of 504,476

2 504, 476
2 252, 238
7 126, 119
18, 17

∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 17 = 8568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8568

Therefore, the GCF of Fractions 6648/504,4412/476 is 4/8568

Least Common Multiple of 504,476 with GCF Formula

Least Common Multiple of 504,476 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 504,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,476) = 28

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

GCF(504,476) x common factors =28 x 1 = 28

LCM(504,476) = ( 504 × 476 ) / 28

LCM(504,476) = 239904 / 28

LCM(504,476) = 8568


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 6648/504, 4412/476

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 6648/504, 4412/476?

Answer: GCF of Numerators as per given numbers 6648/504, 4412/476 is

GCF of Numerators i.e. for 6648,4412 is 4

LCM of denominators i.e. for 504,476 is 8568.

Thus, GCF of Fractions is 4/8568.Finally, GCF of Fractions for 6648/504, 4412/476 is 4/8568.