Greatest Common Factor of 7309/941, 8724/8027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7309/941, 8724/8027

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 7309/941,8724/8027

Given fractions are 7309/941,8724/8027

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 7309,8724

Greatest Common Factor of Numerators i.e. GCF of 7309,8724 is 1 .

LCM of Denominators means LCM of 941,8027 as per the given fractions.

LCM of 941,8027 is 7553407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7309,8724

GCF of Fractions 7309/941,8724/8027 is 1/7553407

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

Greatest Common Factor of 7309,8724 By Matching Biggest Common Factor Method

Greatest Common Factor of 7309,8724 By Matching Biggest Common Factor Method

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1,7309

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1,2,3,4,6,12,727,1454,2181,2908,4362,8724

Greatest Common Factor

We found the factors 7309,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 7309,8724 is 1.

Lets's calculate LCM of 941,8027

Given numbers has no common factors except 1. So, there LCM is their product i.e 7553407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7553407

Therefore, the GCF of Fractions 7309/941,8724/8027 is 1/7553407

Least Common Multiple of 941,8027 with GCF Formula

Least Common Multiple of 941,8027 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 941,8027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,8027) = 1

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

GCF(941,8027) x common factors =1 x 1 = 1

LCM(941,8027) = ( 941 × 8027 ) / 1

LCM(941,8027) = 7553407 / 1

LCM(941,8027) = 7553407


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 7309/941, 8724/8027

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 7309/941, 8724/8027?

Answer: GCF of Numerators as per given numbers 7309/941, 8724/8027 is

GCF of Numerators i.e. for 7309,8724 is 1

LCM of denominators i.e. for 941,8027 is 7553407.

Thus, GCF of Fractions is 1/7553407.Finally, GCF of Fractions for 7309/941, 8724/8027 is 1/7553407.