Greatest Common Factor of 476/4400, 578/4356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/4400, 578/4356

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 476/4400,578/4356

Given fractions are 476/4400,578/4356

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 476,578

Greatest Common Factor of Numerators i.e. GCF of 476,578 is 34 .

LCM of Denominators means LCM of 4400,4356 as per the given fractions.

LCM of 4400,4356 is 435600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,578

GCF of Fractions 476/4400,578/4356 is 34/435600

2 476, 578
17 238, 289
14, 17

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 476,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,578 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 476,578 . The biggest common factor number is the GCF number.
So the greatest common factor 476,578 is 34.

Lets's calculate LCM of 4400,4356

2 4400, 4356
2 2200, 2178
11 1100, 1089
100, 99

∴ So the LCM of the given numbers is 2 x 2 x 11 x 100 x 99 = 435600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/435600

Therefore, the GCF of Fractions 476/4400,578/4356 is 34/435600

Least Common Multiple of 4400,4356 with GCF Formula

Least Common Multiple of 4400,4356 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 4400,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4400,4356) = 44

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

GCF(4400,4356) x common factors =44 x 1 = 44

LCM(4400,4356) = ( 4400 × 4356 ) / 44

LCM(4400,4356) = 19166400 / 44

LCM(4400,4356) = 435600


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 476/4400, 578/4356

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 476/4400, 578/4356?

Answer: GCF of Numerators as per given numbers 476/4400, 578/4356 is

GCF of Numerators i.e. for 476,578 is 34

LCM of denominators i.e. for 4400,4356 is 435600.

Thus, GCF of Fractions is 34/435600.Finally, GCF of Fractions for 476/4400, 578/4356 is 34/435600.