Greatest Common Factor of 2841/913, 9861/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2841/913, 9861/756

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 2841/913,9861/756

Given fractions are 2841/913,9861/756

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 2841,9861

Greatest Common Factor of Numerators i.e. GCF of 2841,9861 is 3 .

LCM of Denominators means LCM of 913,756 as per the given fractions.

LCM of 913,756 is 690228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2841,9861

GCF of Fractions 2841/913,9861/756 is 3/690228

3 2841, 9861
947, 3287

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2841,9861 By Matching Biggest Common Factor Method

Greatest Common Factor of 2841,9861 By Matching Biggest Common Factor Method

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1,3,19,57,173,519,3287,9861

Greatest Common Factor

We found the factors 2841,9861 . The biggest common factor number is the GCF number.
So the greatest common factor 2841,9861 is 3.

Lets's calculate LCM of 913,756

Given numbers has no common factors except 1. So, there LCM is their product i.e 690228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/690228

Therefore, the GCF of Fractions 2841/913,9861/756 is 3/690228

Least Common Multiple of 913,756 with GCF Formula

Least Common Multiple of 913,756 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 913,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,756) = 1

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

GCF(913,756) x common factors =1 x 1 = 1

LCM(913,756) = ( 913 × 756 ) / 1

LCM(913,756) = 690228 / 1

LCM(913,756) = 690228


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 2841/913, 9861/756

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 2841/913, 9861/756?

Answer: GCF of Numerators as per given numbers 2841/913, 9861/756 is

GCF of Numerators i.e. for 2841,9861 is 3

LCM of denominators i.e. for 913,756 is 690228.

Thus, GCF of Fractions is 3/690228.Finally, GCF of Fractions for 2841/913, 9861/756 is 3/690228.