Greatest Common Factor of 9461/976, 4546/9833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9461/976, 4546/9833

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 9461/976,4546/9833

Given fractions are 9461/976,4546/9833

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 9461,4546

Greatest Common Factor of Numerators i.e. GCF of 9461,4546 is 1 .

LCM of Denominators means LCM of 976,9833 as per the given fractions.

LCM of 976,9833 is 9597008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9461,4546

GCF of Fractions 9461/976,4546/9833 is 1/9597008

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

Greatest Common Factor of 9461,4546 By Matching Biggest Common Factor Method

Greatest Common Factor of 9461,4546 By Matching Biggest Common Factor Method

Factors of 9461

List of positive integer factors of 9461 that divides 9461 without a remainder.

1,9461

Factors of 4546

List of positive integer factors of 4546 that divides 4546 without a remainder.

1,2,2273,4546

Greatest Common Factor

We found the factors 9461,4546 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,4546 is 1.

Lets's calculate LCM of 976,9833

Given numbers has no common factors except 1. So, there LCM is their product i.e 9597008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9597008

Therefore, the GCF of Fractions 9461/976,4546/9833 is 1/9597008

Least Common Multiple of 976,9833 with GCF Formula

Least Common Multiple of 976,9833 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 976,9833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,9833) = 1

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

GCF(976,9833) x common factors =1 x 1 = 1

LCM(976,9833) = ( 976 × 9833 ) / 1

LCM(976,9833) = 9597008 / 1

LCM(976,9833) = 9597008


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 9461/976, 4546/9833

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 9461/976, 4546/9833?

Answer: GCF of Numerators as per given numbers 9461/976, 4546/9833 is

GCF of Numerators i.e. for 9461,4546 is 1

LCM of denominators i.e. for 976,9833 is 9597008.

Thus, GCF of Fractions is 1/9597008.Finally, GCF of Fractions for 9461/976, 4546/9833 is 1/9597008.