Greatest Common Factor of 819/809, 901/982, 510/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/809, 901/982, 510/877

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 819/809,901/982,510/877

Given fractions are 819/809,901/982,510/877

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 819,901,510

Greatest Common Factor of Numerators i.e. GCF of 819,901,510 is 1 .

LCM of Denominators means LCM of 809,982,877 as per the given fractions.

LCM of 809,982,877 is 696722126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,901,510

GCF of Fractions 819/809,901/982,510/877 is 1/696722126

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

Greatest Common Factor of 819,901,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,901,510 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 819,901,510 . The biggest common factor number is the GCF number.
So the greatest common factor 819,901,510 is 1.

Lets's calculate LCM of 809,982,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 696722126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696722126

Therefore, the GCF of Fractions 819/809,901/982,510/877 is 1/696722126

Least Common Multiple of 809,982,877 with GCF Formula

Least Common Multiple of 809,982,877 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 809,982,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,982,877) = 1

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

GCF(809,982,877) x common factors =1 x 1 = 1

LCM(809,982,877) = ( 809 × 982 × 877 ) / 1

LCM(809,982,877) = 696722126 / 1

LCM(809,982,877) = 696722126


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 819/809, 901/982, 510/877

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 819/809, 901/982, 510/877?

Answer: GCF of Numerators as per given numbers 819/809, 901/982, 510/877 is

GCF of Numerators i.e. for 819,901,510 is 1

LCM of denominators i.e. for 809,982,877 is 696722126.

Thus, GCF of Fractions is 1/696722126.Finally, GCF of Fractions for 819/809, 901/982, 510/877 is 1/696722126.