Greatest Common Factor of 853/806, 3474/6877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 853/806, 3474/6877

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 853/806,3474/6877

Given fractions are 853/806,3474/6877

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 853,3474

Greatest Common Factor of Numerators i.e. GCF of 853,3474 is 1 .

LCM of Denominators means LCM of 806,6877 as per the given fractions.

LCM of 806,6877 is 426374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 853,3474

GCF of Fractions 853/806,3474/6877 is 1/426374

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

Greatest Common Factor of 853,3474 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,3474 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors 853,3474 . The biggest common factor number is the GCF number.
So the greatest common factor 853,3474 is 1.

Lets's calculate LCM of 806,6877

13 806, 6877
62, 529

∴ So the LCM of the given numbers is 13 x 62 x 529 = 426374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426374

Therefore, the GCF of Fractions 853/806,3474/6877 is 1/426374

Least Common Multiple of 806,6877 with GCF Formula

Least Common Multiple of 806,6877 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 806,6877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,6877) = 13

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

GCF(806,6877) x common factors =13 x 1 = 13

LCM(806,6877) = ( 806 × 6877 ) / 13

LCM(806,6877) = 5542862 / 13

LCM(806,6877) = 426374


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 853/806, 3474/6877

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 853/806, 3474/6877?

Answer: GCF of Numerators as per given numbers 853/806, 3474/6877 is

GCF of Numerators i.e. for 853,3474 is 1

LCM of denominators i.e. for 806,6877 is 426374.

Thus, GCF of Fractions is 1/426374.Finally, GCF of Fractions for 853/806, 3474/6877 is 1/426374.