Greatest Common Factor of 71/474, 81/346, 453/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/474, 81/346, 453/965

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 71/474,81/346,453/965

Given fractions are 71/474,81/346,453/965

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 71,81,453

Greatest Common Factor of Numerators i.e. GCF of 71,81,453 is 1 .

LCM of Denominators means LCM of 474,346,965 as per the given fractions.

LCM of 474,346,965 is 79131930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,81,453

GCF of Fractions 71/474,81/346,453/965 is 1/79131930

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

Greatest Common Factor of 71,81,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,81,453 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 71,81,453 . The biggest common factor number is the GCF number.
So the greatest common factor 71,81,453 is 1.

Lets's calculate LCM of 474,346,965

2 474, 346, 965
237, 173, 965

∴ So the LCM of the given numbers is 2 x 237 x 173 x 965 = 79131930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79131930

Therefore, the GCF of Fractions 71/474,81/346,453/965 is 1/79131930

Least Common Multiple of 474,346,965 with GCF Formula

Least Common Multiple of 474,346,965 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 474,346,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,346,965) = 1

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

GCF(474,346,965) x common factors =1 x 2 = 2

LCM(474,346,965) = ( 474 × 346 × 965 ) / 2

LCM(474,346,965) = 158263860 / 2

LCM(474,346,965) = 79131930


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 71/474, 81/346, 453/965

1. 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.

2. What is the GCF of Fractions for 71/474, 81/346, 453/965?

Answer: GCF of Numerators as per given numbers 71/474, 81/346, 453/965 is

GCF of Numerators i.e. for 71,81,453 is 1

LCM of denominators i.e. for 474,346,965 is 79131930.

Thus, GCF of Fractions is 1/79131930.Finally, GCF of Fractions for 71/474, 81/346, 453/965 is 1/79131930.