Greatest Common Factor of 8329/741, 9967/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8329/741, 9967/900

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 8329/741,9967/900

Given fractions are 8329/741,9967/900

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 8329,9967

Greatest Common Factor of Numerators i.e. GCF of 8329,9967 is 1 .

LCM of Denominators means LCM of 741,900 as per the given fractions.

LCM of 741,900 is 222300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8329,9967

GCF of Fractions 8329/741,9967/900 is 1/222300

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

Greatest Common Factor of 8329,9967 By Matching Biggest Common Factor Method

Greatest Common Factor of 8329,9967 By Matching Biggest Common Factor Method

Factors of 8329

List of positive integer factors of 8329 that divides 8329 without a remainder.

1,8329

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Greatest Common Factor

We found the factors 8329,9967 . The biggest common factor number is the GCF number.
So the greatest common factor 8329,9967 is 1.

Lets's calculate LCM of 741,900

3 741, 900
247, 300

∴ So the LCM of the given numbers is 3 x 247 x 300 = 222300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222300

Therefore, the GCF of Fractions 8329/741,9967/900 is 1/222300

Least Common Multiple of 741,900 with GCF Formula

Least Common Multiple of 741,900 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 741,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,900) = 3

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

GCF(741,900) x common factors =3 x 1 = 3

LCM(741,900) = ( 741 × 900 ) / 3

LCM(741,900) = 666900 / 3

LCM(741,900) = 222300


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 8329/741, 9967/900

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 8329/741, 9967/900?

Answer: GCF of Numerators as per given numbers 8329/741, 9967/900 is

GCF of Numerators i.e. for 8329,9967 is 1

LCM of denominators i.e. for 741,900 is 222300.

Thus, GCF of Fractions is 1/222300.Finally, GCF of Fractions for 8329/741, 9967/900 is 1/222300.