Greatest Common Factor of 298/11, 771/35, 563/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 298/11, 771/35, 563/24

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 298/11,771/35,563/24

Given fractions are 298/11,771/35,563/24

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 298,771,563

Greatest Common Factor of Numerators i.e. GCF of 298,771,563 is 1 .

LCM of Denominators means LCM of 11,35,24 as per the given fractions.

LCM of 11,35,24 is 9240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 298,771,563

GCF of Fractions 298/11,771/35,563/24 is 1/9240

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

Greatest Common Factor of 298,771,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,771,563 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 298,771,563 . The biggest common factor number is the GCF number.
So the greatest common factor 298,771,563 is 1.

Lets's calculate LCM of 11,35,24

Given numbers has no common factors except 1. So, there LCM is their product i.e 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 298/11,771/35,563/24 is 1/9240

Least Common Multiple of 11,35,24 with GCF Formula

Least Common Multiple of 11,35,24 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 11,35,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,35,24) = 1

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

GCF(11,35,24) x common factors =1 x 1 = 1

LCM(11,35,24) = ( 11 × 35 × 24 ) / 1

LCM(11,35,24) = 9240 / 1

LCM(11,35,24) = 9240


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 298/11, 771/35, 563/24

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 298/11, 771/35, 563/24?

Answer: GCF of Numerators as per given numbers 298/11, 771/35, 563/24 is

GCF of Numerators i.e. for 298,771,563 is 1

LCM of denominators i.e. for 11,35,24 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 298/11, 771/35, 563/24 is 1/9240.