Greatest Common Factor of 8138/916, 9703/2666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8138/916, 9703/2666

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 8138/916,9703/2666

Given fractions are 8138/916,9703/2666

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 8138,9703

Greatest Common Factor of Numerators i.e. GCF of 8138,9703 is 313 .

LCM of Denominators means LCM of 916,2666 as per the given fractions.

LCM of 916,2666 is 1221028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8138,9703

GCF of Fractions 8138/916,9703/2666 is 313/1221028

313 8138, 9703
26, 31

∴ So the GCF of the given numbers is 313 = 313

Greatest Common Factor of 8138,9703 By Matching Biggest Common Factor Method

Greatest Common Factor of 8138,9703 By Matching Biggest Common Factor Method

Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1,2,13,26,313,626,4069,8138

Factors of 9703

List of positive integer factors of 9703 that divides 9703 without a remainder.

1,31,313,9703

Greatest Common Factor

We found the factors 8138,9703 . The biggest common factor number is the GCF number.
So the greatest common factor 8138,9703 is 313.

Lets's calculate LCM of 916,2666

2 916, 2666
458, 1333

∴ So the LCM of the given numbers is 2 x 458 x 1333 = 1221028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 313/1221028

Therefore, the GCF of Fractions 8138/916,9703/2666 is 313/1221028

Least Common Multiple of 916,2666 with GCF Formula

Least Common Multiple of 916,2666 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 916,2666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,2666) = 2

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

GCF(916,2666) x common factors =2 x 1 = 2

LCM(916,2666) = ( 916 × 2666 ) / 2

LCM(916,2666) = 2442056 / 2

LCM(916,2666) = 1221028


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 8138/916, 9703/2666

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 8138/916, 9703/2666?

Answer: GCF of Numerators as per given numbers 8138/916, 9703/2666 is

GCF of Numerators i.e. for 8138,9703 is 313

LCM of denominators i.e. for 916,2666 is 1221028.

Thus, GCF of Fractions is 313/1221028.Finally, GCF of Fractions for 8138/916, 9703/2666 is 313/1221028.