Greatest Common Factor of 811/898, 119/578, 209/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/898, 119/578, 209/818

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 811/898,119/578,209/818

Given fractions are 811/898,119/578,209/818

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 811,119,209

Greatest Common Factor of Numerators i.e. GCF of 811,119,209 is 1 .

LCM of Denominators means LCM of 898,578,818 as per the given fractions.

LCM of 898,578,818 is 106144498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,119,209

GCF of Fractions 811/898,119/578,209/818 is 1/106144498

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

Greatest Common Factor of 811,119,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,119,209 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 811,119,209 . The biggest common factor number is the GCF number.
So the greatest common factor 811,119,209 is 1.

Lets's calculate LCM of 898,578,818

2 898, 578, 818
449, 289, 409

∴ So the LCM of the given numbers is 2 x 449 x 289 x 409 = 106144498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106144498

Therefore, the GCF of Fractions 811/898,119/578,209/818 is 1/106144498

Least Common Multiple of 898,578,818 with GCF Formula

Least Common Multiple of 898,578,818 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 898,578,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,578,818) = 2

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

GCF(898,578,818) x common factors =2 x 2 = 4

LCM(898,578,818) = ( 898 × 578 × 818 ) / 4

LCM(898,578,818) = 424577992 / 4

LCM(898,578,818) = 106144498


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 811/898, 119/578, 209/818

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 811/898, 119/578, 209/818?

Answer: GCF of Numerators as per given numbers 811/898, 119/578, 209/818 is

GCF of Numerators i.e. for 811,119,209 is 1

LCM of denominators i.e. for 898,578,818 is 106144498.

Thus, GCF of Fractions is 1/106144498.Finally, GCF of Fractions for 811/898, 119/578, 209/818 is 1/106144498.