How to Find GCF of 4717/616, 1447/1903?

GCF of 4717/616, 1447/1903

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 4717/616, 1447/1903 i.e 1/106568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4717/616, 1447/1903.

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 4717/616,1447/1903?

Given fractions are 4717/616,1447/1903

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 4717/616,1447/1903, numerators are 4717,1447

Denominators are 616,1903

The GCF of 4717,1447 is 1 .

LCM of 616,1903 is 106568.

The greatest common factor of 4717/616,1447/1903 = [GCF of 4717,1447]/[LCM of 616,1903]= 1/106568

Therefore, the GCF of 4717/616,1447/1903 is 1/106568.

Greatest Common Factor of 4717,1447

To find the highest common factor of 4717,1447, we have to find the factors of both numbers and list the highest common factor.

The factors of 4717 are 1, 53, 89, 4717

The factors of 1447 are 1, 1447

The HCF of 4717,1447 is 1.

Lets's calculate GCF of 4717,1447

Greatest Common Factor (GCF) of 4717,1447 By Common Division

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

Greatest Common Factor of 4717,1447 By Matching Biggest Common Factor Method

Now, list down the factors of 4717

1,53,89,4717

Now, list down the factors of 1447

1,1447

Greatest Common Factor

We found the factors 4717,1447 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,1447 is 1.

Lets's calculate LCM of 616,1903

Lowest Common Multiple of 616,1903 using Common Division

11	616, 1903
	56, 173

∴ So the LCM of the given numbers is 11 x 56 x 173 = 106568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106568

Therefore, the GCF of Fractions 4717/616,1447/1903 is 1/106568

Least Common Multiple of 616,1903 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 616,1903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,1903) = 11

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

GCF(616,1903) x common factors =11 x 1 = 11

LCM(616,1903) = ( 616 × 1903 ) / 11

LCM(616,1903) = 1172248 / 11

LCM(616,1903) = 106568

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FAQs on GCF of Fractions of 4717/616, 1447/1903

1. What is the HCF of 4717,1447?

The HCF of 4717,1447 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 4717/616, 1447/1903?

Answer: GCF of Numerators as per given numbers 4717/616, 1447/1903 is

GCF of Numerators i.e. for 4717,1447 is 1

LCM of denominators i.e. for 616,1903 is 106568.

Thus, GCF of Fractions is 1/106568.Finally, GCF of Fractions for 4717/616, 1447/1903 is 1/106568.