How to Find GCF of 47/28, 43/33, 918/412?

GCF of 47/28, 43/33, 918/412

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 47/28, 43/33, 918/412 i.e 1/95172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/28, 43/33, 918/412.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 47/28,43/33,918/412?

Given fractions are 47/28,43/33,918/412

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 47/28,43/33,918/412, numerators are 47,43,918

Denominators are 28,33,412

The GCF of 47,43,918 is 1 .

LCM of 28,33,412 is 95172.

The greatest common factor of 47/28,43/33,918/412 = [GCF of 47,43,918]/[LCM of 28,33,412]= 1/95172

Therefore, the GCF of 47/28,43/33,918/412 is 1/95172.

Greatest Common Factor of 47,43,918

To find the highest common factor of 47,43,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 47 are 1, 47

The factors of 43 are 1, 43

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 47,43,918 is 1.

Lets's calculate GCF of 47,43,918

Greatest Common Factor (GCF) of 47,43,918 By Common Division

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

Greatest Common Factor of 47,43,918 By Matching Biggest Common Factor Method

Now, list down the factors of 47

1,47

Now, list down the factors of 43

1,43

Now, list down the factors of 918

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 47,43,918 . The biggest common factor number is the GCF number.
So the greatest common factor 47,43,918 is 1.

Lets's calculate LCM of 28,33,412

Lowest Common Multiple of 28,33,412 using Common Division

2	28, 33, 412
2	14, 33, 206
	7, 33, 103

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 103 = 95172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95172

Therefore, the GCF of Fractions 47/28,43/33,918/412 is 1/95172

Least Common Multiple of 28,33,412 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,33,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,33,412) = 1

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

GCF(28,33,412) x common factors =1 x 4 = 4

LCM(28,33,412) = ( 28 × 33 × 412 ) / 4

LCM(28,33,412) = 380688 / 4

LCM(28,33,412) = 95172

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 47/28, 43/33, 918/412

1. What is the HCF of 47,43,918?

The HCF of 47,43,918 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 47/28, 43/33, 918/412?

Answer: GCF of Numerators as per given numbers 47/28, 43/33, 918/412 is

GCF of Numerators i.e. for 47,43,918 is 1

LCM of denominators i.e. for 28,33,412 is 95172.

Thus, GCF of Fractions is 1/95172.Finally, GCF of Fractions for 47/28, 43/33, 918/412 is 1/95172.