Greatest Common Factor of 11/898, 19/710, 255/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/898, 19/710, 255/976

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 11/898,19/710,255/976

Given fractions are 11/898,19/710,255/976

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 11,19,255

Greatest Common Factor of Numerators i.e. GCF of 11,19,255 is 1 .

LCM of Denominators means LCM of 898,710,976 as per the given fractions.

LCM of 898,710,976 is 155569520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,19,255

GCF of Fractions 11/898,19/710,255/976 is 1/155569520

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

Greatest Common Factor of 11,19,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,19,255 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 11,19,255 . The biggest common factor number is the GCF number.
So the greatest common factor 11,19,255 is 1.

Lets's calculate LCM of 898,710,976

2 898, 710, 976
449, 355, 488

∴ So the LCM of the given numbers is 2 x 449 x 355 x 488 = 155569520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155569520

Therefore, the GCF of Fractions 11/898,19/710,255/976 is 1/155569520

Least Common Multiple of 898,710,976 with GCF Formula

Least Common Multiple of 898,710,976 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 898,710,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,710,976) = 2

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

GCF(898,710,976) x common factors =2 x 2 = 4

LCM(898,710,976) = ( 898 × 710 × 976 ) / 4

LCM(898,710,976) = 622278080 / 4

LCM(898,710,976) = 155569520


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 11/898, 19/710, 255/976

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 11/898, 19/710, 255/976?

Answer: GCF of Numerators as per given numbers 11/898, 19/710, 255/976 is

GCF of Numerators i.e. for 11,19,255 is 1

LCM of denominators i.e. for 898,710,976 is 155569520.

Thus, GCF of Fractions is 1/155569520.Finally, GCF of Fractions for 11/898, 19/710, 255/976 is 1/155569520.