How to Find GCF of 71/761, 58/329, 491/180?

GCF of 71/761, 58/329, 491/180

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 71/761, 58/329, 491/180 i.e 1/45066420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/761, 58/329, 491/180.

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 71/761,58/329,491/180?

Given fractions are 71/761,58/329,491/180

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 71/761,58/329,491/180, numerators are 71,58,491

Denominators are 761,329,180

The GCF of 71,58,491 is 1 .

LCM of 761,329,180 is 45066420.

The greatest common factor of 71/761,58/329,491/180 = [GCF of 71,58,491]/[LCM of 761,329,180]= 1/45066420

Therefore, the GCF of 71/761,58/329,491/180 is 1/45066420.

Greatest Common Factor of 71,58,491

To find the highest common factor of 71,58,491, 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 58 are 1, 2, 29, 58

The factors of 491 are 1, 491

The HCF of 71,58,491 is 1.

Lets's calculate GCF of 71,58,491

Greatest Common Factor (GCF) of 71,58,491 By Common Division

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

Greatest Common Factor of 71,58,491 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 491

1,491

Greatest Common Factor

We found the factors 71,58,491 . The biggest common factor number is the GCF number.
So the greatest common factor 71,58,491 is 1.

Lets's calculate LCM of 761,329,180

Lowest Common Multiple of 761,329,180 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45066420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45066420

Therefore, the GCF of Fractions 71/761,58/329,491/180 is 1/45066420

Least Common Multiple of 761,329,180 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 761,329,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,329,180) = 1

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

GCF(761,329,180) x common factors =1 x 1 = 1

LCM(761,329,180) = ( 761 × 329 × 180 ) / 1

LCM(761,329,180) = 45066420 / 1

LCM(761,329,180) = 45066420

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FAQs on GCF of Fractions of 71/761, 58/329, 491/180

1. What is the HCF of 71,58,491?

The HCF of 71,58,491 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 71/761, 58/329, 491/180?

Answer: GCF of Numerators as per given numbers 71/761, 58/329, 491/180 is

GCF of Numerators i.e. for 71,58,491 is 1

LCM of denominators i.e. for 761,329,180 is 45066420.

Thus, GCF of Fractions is 1/45066420.Finally, GCF of Fractions for 71/761, 58/329, 491/180 is 1/45066420.