How to Find GCF of 71/43, 199/66, 913/674?

GCF of 71/43, 199/66, 913/674

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 71/43, 199/66, 913/674 i.e 1/956406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/43, 199/66, 913/674.

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 71/43,199/66,913/674?

Given fractions are 71/43,199/66,913/674

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 71/43,199/66,913/674, numerators are 71,199,913

Denominators are 43,66,674

The GCF of 71,199,913 is 1 .

LCM of 43,66,674 is 956406.

The greatest common factor of 71/43,199/66,913/674 = [GCF of 71,199,913]/[LCM of 43,66,674]= 1/956406

Therefore, the GCF of 71/43,199/66,913/674 is 1/956406.

Greatest Common Factor of 71,199,913

To find the highest common factor of 71,199,913, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 199 are 1, 199

The factors of 913 are 1, 11, 83, 913

The HCF of 71,199,913 is 1.

Lets's calculate GCF of 71,199,913

Greatest Common Factor (GCF) of 71,199,913 By Common Division

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

Greatest Common Factor of 71,199,913 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 199

1,199

Now, list down the factors of 913

1,11,83,913

Greatest Common Factor

We found the factors 71,199,913 . The biggest common factor number is the GCF number.
So the greatest common factor 71,199,913 is 1.

Lets's calculate LCM of 43,66,674

Lowest Common Multiple of 43,66,674 using Common Division

2	43, 66, 674
	43, 33, 337

∴ So the LCM of the given numbers is 2 x 43 x 33 x 337 = 956406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956406

Therefore, the GCF of Fractions 71/43,199/66,913/674 is 1/956406

Least Common Multiple of 43,66,674 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 43,66,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,66,674) = 1

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

GCF(43,66,674) x common factors =1 x 2 = 2

LCM(43,66,674) = ( 43 × 66 × 674 ) / 2

LCM(43,66,674) = 1912812 / 2

LCM(43,66,674) = 956406

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FAQs on GCF of Fractions of 71/43, 199/66, 913/674

1. What is the HCF of 71,199,913?

The HCF of 71,199,913 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 71/43, 199/66, 913/674?

Answer: GCF of Numerators as per given numbers 71/43, 199/66, 913/674 is

GCF of Numerators i.e. for 71,199,913 is 1

LCM of denominators i.e. for 43,66,674 is 956406.

Thus, GCF of Fractions is 1/956406.Finally, GCF of Fractions for 71/43, 199/66, 913/674 is 1/956406.