Greatest Common Factor of 118/743, 9705/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/743, 9705/404

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 118/743,9705/404

Given fractions are 118/743,9705/404

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 118,9705

Greatest Common Factor of Numerators i.e. GCF of 118,9705 is 1 .

LCM of Denominators means LCM of 743,404 as per the given fractions.

LCM of 743,404 is 300172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,9705

GCF of Fractions 118/743,9705/404 is 1/300172

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

Greatest Common Factor of 118,9705 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,9705 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 9705

List of positive integer factors of 9705 that divides 9705 without a remainder.

1,3,5,15,647,1941,3235,9705

Greatest Common Factor

We found the factors 118,9705 . The biggest common factor number is the GCF number.
So the greatest common factor 118,9705 is 1.

Lets's calculate LCM of 743,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 300172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300172

Therefore, the GCF of Fractions 118/743,9705/404 is 1/300172

Least Common Multiple of 743,404 with GCF Formula

Least Common Multiple of 743,404 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 743,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,404) = 1

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

GCF(743,404) x common factors =1 x 1 = 1

LCM(743,404) = ( 743 × 404 ) / 1

LCM(743,404) = 300172 / 1

LCM(743,404) = 300172


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 118/743, 9705/404

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 118/743, 9705/404?

Answer: GCF of Numerators as per given numbers 118/743, 9705/404 is

GCF of Numerators i.e. for 118,9705 is 1

LCM of denominators i.e. for 743,404 is 300172.

Thus, GCF of Fractions is 1/300172.Finally, GCF of Fractions for 118/743, 9705/404 is 1/300172.