How to Find GCF of 4147/950, 1733/9488?

GCF of 4147/950, 1733/9488

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 4147/950, 1733/9488 i.e 1/4506800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4147/950, 1733/9488.

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 4147/950,1733/9488?

Given fractions are 4147/950,1733/9488

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 4147/950,1733/9488, numerators are 4147,1733

Denominators are 950,9488

The GCF of 4147,1733 is 1 .

LCM of 950,9488 is 4506800.

The greatest common factor of 4147/950,1733/9488 = [GCF of 4147,1733]/[LCM of 950,9488]= 1/4506800

Therefore, the GCF of 4147/950,1733/9488 is 1/4506800.

Greatest Common Factor of 4147,1733

To find the highest common factor of 4147,1733, we have to find the factors of both numbers and list the highest common factor.

The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147

The factors of 1733 are 1, 1733

The HCF of 4147,1733 is 1.

Lets's calculate GCF of 4147,1733

Greatest Common Factor (GCF) of 4147,1733 By Common Division

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

Greatest Common Factor of 4147,1733 By Matching Biggest Common Factor Method

Now, list down the factors of 4147

1,11,13,29,143,319,377,4147

Now, list down the factors of 1733

1,1733

Greatest Common Factor

We found the factors 4147,1733 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,1733 is 1.

Lets's calculate LCM of 950,9488

Lowest Common Multiple of 950,9488 using Common Division

2	950, 9488
	475, 4744

∴ So the LCM of the given numbers is 2 x 475 x 4744 = 4506800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4506800

Therefore, the GCF of Fractions 4147/950,1733/9488 is 1/4506800

Least Common Multiple of 950,9488 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 950,9488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,9488) = 2

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

GCF(950,9488) x common factors =2 x 1 = 2

LCM(950,9488) = ( 950 × 9488 ) / 2

LCM(950,9488) = 9013600 / 2

LCM(950,9488) = 4506800

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FAQs on GCF of Fractions of 4147/950, 1733/9488

1. What is the HCF of 4147,1733?

The HCF of 4147,1733 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 4147/950, 1733/9488?

Answer: GCF of Numerators as per given numbers 4147/950, 1733/9488 is

GCF of Numerators i.e. for 4147,1733 is 1

LCM of denominators i.e. for 950,9488 is 4506800.

Thus, GCF of Fractions is 1/4506800.Finally, GCF of Fractions for 4147/950, 1733/9488 is 1/4506800.