How to Find GCF of 73/374, 33/791, 521/276?

GCF of 73/374, 33/791, 521/276

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 73/374, 33/791, 521/276 i.e 1/40825092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/374, 33/791, 521/276.

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 73/374,33/791,521/276?

Given fractions are 73/374,33/791,521/276

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 73/374,33/791,521/276, numerators are 73,33,521

Denominators are 374,791,276

The GCF of 73,33,521 is 1 .

LCM of 374,791,276 is 40825092.

The greatest common factor of 73/374,33/791,521/276 = [GCF of 73,33,521]/[LCM of 374,791,276]= 1/40825092

Therefore, the GCF of 73/374,33/791,521/276 is 1/40825092.

Greatest Common Factor of 73,33,521

To find the highest common factor of 73,33,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 33 are 1, 3, 11, 33

The factors of 521 are 1, 521

The HCF of 73,33,521 is 1.

Lets's calculate GCF of 73,33,521

Greatest Common Factor (GCF) of 73,33,521 By Common Division

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

Greatest Common Factor of 73,33,521 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 73,33,521 . The biggest common factor number is the GCF number.
So the greatest common factor 73,33,521 is 1.

Lets's calculate LCM of 374,791,276

Lowest Common Multiple of 374,791,276 using Common Division

2	374, 791, 276
	187, 791, 138

∴ So the LCM of the given numbers is 2 x 187 x 791 x 138 = 40825092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40825092

Therefore, the GCF of Fractions 73/374,33/791,521/276 is 1/40825092

Least Common Multiple of 374,791,276 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 374,791,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,791,276) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(374,791,276) x common factors =1 x 2 = 2

LCM(374,791,276) = ( 374 × 791 × 276 ) / 2

LCM(374,791,276) = 81650184 / 2

LCM(374,791,276) = 40825092

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FAQs on GCF of Fractions of 73/374, 33/791, 521/276

1. What is the HCF of 73,33,521?

The HCF of 73,33,521 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 73/374, 33/791, 521/276?

Answer: GCF of Numerators as per given numbers 73/374, 33/791, 521/276 is

GCF of Numerators i.e. for 73,33,521 is 1

LCM of denominators i.e. for 374,791,276 is 40825092.

Thus, GCF of Fractions is 1/40825092.Finally, GCF of Fractions for 73/374, 33/791, 521/276 is 1/40825092.