Greatest Common Factor of 9743/41, 7280/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9743/41, 7280/697

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 9743/41,7280/697

Given fractions are 9743/41,7280/697

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 9743,7280

Greatest Common Factor of Numerators i.e. GCF of 9743,7280 is 1 .

LCM of Denominators means LCM of 41,697 as per the given fractions.

LCM of 41,697 is 697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9743,7280

GCF of Fractions 9743/41,7280/697 is 1/697

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

Greatest Common Factor of 9743,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 9743,7280 By Matching Biggest Common Factor Method

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1,9743

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 9743,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 9743,7280 is 1.

Lets's calculate LCM of 41,697

41 41, 697
1, 17

∴ So the LCM of the given numbers is 41 x 1 x 17 = 697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/697

Therefore, the GCF of Fractions 9743/41,7280/697 is 1/697

Least Common Multiple of 41,697 with GCF Formula

Least Common Multiple of 41,697 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 41,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,697) = 41

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

GCF(41,697) x common factors =41 x 1 = 41

LCM(41,697) = ( 41 × 697 ) / 41

LCM(41,697) = 28577 / 41

LCM(41,697) = 697


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 9743/41, 7280/697

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 9743/41, 7280/697?

Answer: GCF of Numerators as per given numbers 9743/41, 7280/697 is

GCF of Numerators i.e. for 9743,7280 is 1

LCM of denominators i.e. for 41,697 is 697.

Thus, GCF of Fractions is 1/697.Finally, GCF of Fractions for 9743/41, 7280/697 is 1/697.