How to Find GCF of 3539/632, 4923/5166?

GCF of 3539/632, 4923/5166

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 3539/632, 4923/5166 i.e 1/1632456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3539/632, 4923/5166.

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 3539/632,4923/5166?

Given fractions are 3539/632,4923/5166

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 3539/632,4923/5166, numerators are 3539,4923

Denominators are 632,5166

The GCF of 3539,4923 is 1 .

LCM of 632,5166 is 1632456.

The greatest common factor of 3539/632,4923/5166 = [GCF of 3539,4923]/[LCM of 632,5166]= 1/1632456

Therefore, the GCF of 3539/632,4923/5166 is 1/1632456.

Greatest Common Factor of 3539,4923

To find the highest common factor of 3539,4923, we have to find the factors of both numbers and list the highest common factor.

The factors of 3539 are 1, 3539

The factors of 4923 are 1, 3, 9, 547, 1641, 4923

The HCF of 3539,4923 is 1.

Lets's calculate GCF of 3539,4923

Greatest Common Factor (GCF) of 3539,4923 By Common Division

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

Greatest Common Factor of 3539,4923 By Matching Biggest Common Factor Method

Now, list down the factors of 3539

1,3539

Now, list down the factors of 4923

1,3,9,547,1641,4923

Greatest Common Factor

We found the factors 3539,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 3539,4923 is 1.

Lets's calculate LCM of 632,5166

Lowest Common Multiple of 632,5166 using Common Division

2	632, 5166
	316, 2583

∴ So the LCM of the given numbers is 2 x 316 x 2583 = 1632456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1632456

Therefore, the GCF of Fractions 3539/632,4923/5166 is 1/1632456

Least Common Multiple of 632,5166 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 632,5166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,5166) = 2

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

GCF(632,5166) x common factors =2 x 1 = 2

LCM(632,5166) = ( 632 × 5166 ) / 2

LCM(632,5166) = 3264912 / 2

LCM(632,5166) = 1632456

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FAQs on GCF of Fractions of 3539/632, 4923/5166

1. What is the HCF of 3539,4923?

The HCF of 3539,4923 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 3539/632, 4923/5166?

Answer: GCF of Numerators as per given numbers 3539/632, 4923/5166 is

GCF of Numerators i.e. for 3539,4923 is 1

LCM of denominators i.e. for 632,5166 is 1632456.

Thus, GCF of Fractions is 1/1632456.Finally, GCF of Fractions for 3539/632, 4923/5166 is 1/1632456.