Greatest Common Factor of 806/880, 8541/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/880, 8541/174

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 806/880,8541/174

Given fractions are 806/880,8541/174

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 806,8541

Greatest Common Factor of Numerators i.e. GCF of 806,8541 is 13 .

LCM of Denominators means LCM of 880,174 as per the given fractions.

LCM of 880,174 is 76560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,8541

GCF of Fractions 806/880,8541/174 is 13/76560

13 806, 8541
62, 657

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 806,8541 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,8541 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 8541

List of positive integer factors of 8541 that divides 8541 without a remainder.

1,3,9,13,39,73,117,219,657,949,2847,8541

Greatest Common Factor

We found the factors 806,8541 . The biggest common factor number is the GCF number.
So the greatest common factor 806,8541 is 13.

Lets's calculate LCM of 880,174

2 880, 174
440, 87

∴ So the LCM of the given numbers is 2 x 440 x 87 = 76560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/76560

Therefore, the GCF of Fractions 806/880,8541/174 is 13/76560

Least Common Multiple of 880,174 with GCF Formula

Least Common Multiple of 880,174 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 880,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,174) = 2

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

GCF(880,174) x common factors =2 x 1 = 2

LCM(880,174) = ( 880 × 174 ) / 2

LCM(880,174) = 153120 / 2

LCM(880,174) = 76560


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 806/880, 8541/174

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 806/880, 8541/174?

Answer: GCF of Numerators as per given numbers 806/880, 8541/174 is

GCF of Numerators i.e. for 806,8541 is 13

LCM of denominators i.e. for 880,174 is 76560.

Thus, GCF of Fractions is 13/76560.Finally, GCF of Fractions for 806/880, 8541/174 is 13/76560.