Greatest Common Factor of 54/67, 76/41, 814/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/67, 76/41, 814/310

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 54/67,76/41,814/310

Given fractions are 54/67,76/41,814/310

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 54,76,814

Greatest Common Factor of Numerators i.e. GCF of 54,76,814 is 2 .

LCM of Denominators means LCM of 67,41,310 as per the given fractions.

LCM of 67,41,310 is 851570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,76,814

GCF of Fractions 54/67,76/41,814/310 is 2/851570

2 54, 76, 814
27, 38, 407

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 54,76,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,76,814 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 54,76,814 . The biggest common factor number is the GCF number.
So the greatest common factor 54,76,814 is 2.

Lets's calculate LCM of 67,41,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 851570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/851570

Therefore, the GCF of Fractions 54/67,76/41,814/310 is 2/851570

Least Common Multiple of 67,41,310 with GCF Formula

Least Common Multiple of 67,41,310 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 67,41,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,41,310) = 1

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

GCF(67,41,310) x common factors =1 x 1 = 1

LCM(67,41,310) = ( 67 × 41 × 310 ) / 1

LCM(67,41,310) = 851570 / 1

LCM(67,41,310) = 851570


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 54/67, 76/41, 814/310

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 54/67, 76/41, 814/310?

Answer: GCF of Numerators as per given numbers 54/67, 76/41, 814/310 is

GCF of Numerators i.e. for 54,76,814 is 2

LCM of denominators i.e. for 67,41,310 is 851570.

Thus, GCF of Fractions is 2/851570.Finally, GCF of Fractions for 54/67, 76/41, 814/310 is 2/851570.