Greatest Common Factor of 1051/893, 4761/8539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1051/893, 4761/8539

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 1051/893,4761/8539

Given fractions are 1051/893,4761/8539

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 1051,4761

Greatest Common Factor of Numerators i.e. GCF of 1051,4761 is 1 .

LCM of Denominators means LCM of 893,8539 as per the given fractions.

LCM of 893,8539 is 7625327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1051,4761

GCF of Fractions 1051/893,4761/8539 is 1/7625327

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

Greatest Common Factor of 1051,4761 By Matching Biggest Common Factor Method

Greatest Common Factor of 1051,4761 By Matching Biggest Common Factor Method

Factors of 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1,1051

Factors of 4761

List of positive integer factors of 4761 that divides 4761 without a remainder.

1,3,9,23,69,207,529,1587,4761

Greatest Common Factor

We found the factors 1051,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 1051,4761 is 1.

Lets's calculate LCM of 893,8539

Given numbers has no common factors except 1. So, there LCM is their product i.e 7625327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7625327

Therefore, the GCF of Fractions 1051/893,4761/8539 is 1/7625327

Least Common Multiple of 893,8539 with GCF Formula

Least Common Multiple of 893,8539 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 893,8539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,8539) = 1

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

GCF(893,8539) x common factors =1 x 1 = 1

LCM(893,8539) = ( 893 × 8539 ) / 1

LCM(893,8539) = 7625327 / 1

LCM(893,8539) = 7625327


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 1051/893, 4761/8539

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 1051/893, 4761/8539?

Answer: GCF of Numerators as per given numbers 1051/893, 4761/8539 is

GCF of Numerators i.e. for 1051,4761 is 1

LCM of denominators i.e. for 893,8539 is 7625327.

Thus, GCF of Fractions is 1/7625327.Finally, GCF of Fractions for 1051/893, 4761/8539 is 1/7625327.