Greatest Common Factor of 311/54, 974/68, 785/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 311/54, 974/68, 785/71

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 311/54,974/68,785/71

Given fractions are 311/54,974/68,785/71

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 311,974,785

Greatest Common Factor of Numerators i.e. GCF of 311,974,785 is 1 .

LCM of Denominators means LCM of 54,68,71 as per the given fractions.

LCM of 54,68,71 is 130356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,974,785

GCF of Fractions 311/54,974/68,785/71 is 1/130356

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

Greatest Common Factor of 311,974,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,974,785 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 311,974,785 . The biggest common factor number is the GCF number.
So the greatest common factor 311,974,785 is 1.


Lets's calculate LCM of 54,68,71

2 54, 68, 71
27, 34, 71

∴ So the LCM of the given numbers is 2 x 27 x 34 x 71 = 130356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130356

Therefore, the GCF of Fractions 311/54,974/68,785/71 is 1/130356

Least Common Multiple of 54,68,71 with GCF Formula

Least Common Multiple of 54,68,71 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 54,68,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,68,71) = 1

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

GCF(54,68,71) x common factors =1 x 2 = 2

LCM(54,68,71) = ( 54 × 68 × 71 ) / 2

LCM(54,68,71) = 260712 / 2

LCM(54,68,71) = 130356


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 311/54, 974/68, 785/71

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 311/54, 974/68, 785/71?

Answer: GCF of Numerators as per given numbers 311/54, 974/68, 785/71 is

GCF of Numerators i.e. for 311,974,785 is 1

LCM of denominators i.e. for 54,68,71 is 130356.

Thus, GCF of Fractions is 1/130356.Finally, GCF of Fractions for 311/54, 974/68, 785/71 is 1/130356.