Greatest Common Factor of 7857/804, 5837/1286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7857/804, 5837/1286

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 7857/804,5837/1286

Given fractions are 7857/804,5837/1286

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 7857,5837

Greatest Common Factor of Numerators i.e. GCF of 7857,5837 is 1 .

LCM of Denominators means LCM of 804,1286 as per the given fractions.

LCM of 804,1286 is 516972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7857,5837

GCF of Fractions 7857/804,5837/1286 is 1/516972

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

Greatest Common Factor of 7857,5837 By Matching Biggest Common Factor Method

Greatest Common Factor of 7857,5837 By Matching Biggest Common Factor Method

Factors of 7857

List of positive integer factors of 7857 that divides 7857 without a remainder.

1,3,9,27,81,97,291,873,2619,7857

Factors of 5837

List of positive integer factors of 5837 that divides 5837 without a remainder.

1,13,449,5837

Greatest Common Factor

We found the factors 7857,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,5837 is 1.

Lets's calculate LCM of 804,1286

2 804, 1286
402, 643

∴ So the LCM of the given numbers is 2 x 402 x 643 = 516972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516972

Therefore, the GCF of Fractions 7857/804,5837/1286 is 1/516972

Least Common Multiple of 804,1286 with GCF Formula

Least Common Multiple of 804,1286 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 804,1286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,1286) = 2

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

GCF(804,1286) x common factors =2 x 1 = 2

LCM(804,1286) = ( 804 × 1286 ) / 2

LCM(804,1286) = 1033944 / 2

LCM(804,1286) = 516972


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 7857/804, 5837/1286

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 7857/804, 5837/1286?

Answer: GCF of Numerators as per given numbers 7857/804, 5837/1286 is

GCF of Numerators i.e. for 7857,5837 is 1

LCM of denominators i.e. for 804,1286 is 516972.

Thus, GCF of Fractions is 1/516972.Finally, GCF of Fractions for 7857/804, 5837/1286 is 1/516972.