Greatest Common Factor of 43/47, 33/52, 310/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/47, 33/52, 310/448

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 43/47,33/52,310/448

Given fractions are 43/47,33/52,310/448

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 43,33,310

Greatest Common Factor of Numerators i.e. GCF of 43,33,310 is 1 .

LCM of Denominators means LCM of 47,52,448 as per the given fractions.

LCM of 47,52,448 is 273728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,33,310

GCF of Fractions 43/47,33/52,310/448 is 1/273728

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 43,33,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,33,310 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 43,33,310 . The biggest common factor number is the GCF number.
So the greatest common factor 43,33,310 is 1.

Lets's calculate LCM of 47,52,448

2 47, 52, 448
2 47, 26, 224
47, 13, 112

∴ So the LCM of the given numbers is 2 x 2 x 47 x 13 x 112 = 273728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273728

Therefore, the GCF of Fractions 43/47,33/52,310/448 is 1/273728

Least Common Multiple of 47,52,448 with GCF Formula

Least Common Multiple of 47,52,448 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 47,52,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,52,448) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,52,448) x common factors =1 x 4 = 4

LCM(47,52,448) = ( 47 × 52 × 448 ) / 4

LCM(47,52,448) = 1094912 / 4

LCM(47,52,448) = 273728


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 43/47, 33/52, 310/448

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 43/47, 33/52, 310/448?

Answer: GCF of Numerators as per given numbers 43/47, 33/52, 310/448 is

GCF of Numerators i.e. for 43,33,310 is 1

LCM of denominators i.e. for 47,52,448 is 273728.

Thus, GCF of Fractions is 1/273728.Finally, GCF of Fractions for 43/47, 33/52, 310/448 is 1/273728.