Greatest Common Factor of 54/992, 45/775, 314/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/992, 45/775, 314/831

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 54/992,45/775,314/831

Given fractions are 54/992,45/775,314/831

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 54,45,314

Greatest Common Factor of Numerators i.e. GCF of 54,45,314 is 1 .

LCM of Denominators means LCM of 992,775,831 as per the given fractions.

LCM of 992,775,831 is 20608800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,45,314

GCF of Fractions 54/992,45/775,314/831 is 1/20608800

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

Greatest Common Factor of 54,45,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,45,314 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 54,45,314 . The biggest common factor number is the GCF number.
So the greatest common factor 54,45,314 is 1.

Lets's calculate LCM of 992,775,831

31 992, 775, 831
32, 25, 831

∴ So the LCM of the given numbers is 31 x 32 x 25 x 831 = 20608800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20608800

Therefore, the GCF of Fractions 54/992,45/775,314/831 is 1/20608800

Least Common Multiple of 992,775,831 with GCF Formula

Least Common Multiple of 992,775,831 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 992,775,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,775,831) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(992,775,831) x common factors =1 x 31 = 31

LCM(992,775,831) = ( 992 × 775 × 831 ) / 31

LCM(992,775,831) = 638872800 / 31

LCM(992,775,831) = 20608800


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 54/992, 45/775, 314/831

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 54/992, 45/775, 314/831?

Answer: GCF of Numerators as per given numbers 54/992, 45/775, 314/831 is

GCF of Numerators i.e. for 54,45,314 is 1

LCM of denominators i.e. for 992,775,831 is 20608800.

Thus, GCF of Fractions is 1/20608800.Finally, GCF of Fractions for 54/992, 45/775, 314/831 is 1/20608800.