Greatest Common Factor of 9908/392, 3611/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9908/392, 3611/829

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 9908/392,3611/829

Given fractions are 9908/392,3611/829

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 9908,3611

Greatest Common Factor of Numerators i.e. GCF of 9908,3611 is 1 .

LCM of Denominators means LCM of 392,829 as per the given fractions.

LCM of 392,829 is 324968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9908,3611

GCF of Fractions 9908/392,3611/829 is 1/324968

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

Greatest Common Factor of 9908,3611 By Matching Biggest Common Factor Method

Greatest Common Factor of 9908,3611 By Matching Biggest Common Factor Method

Factors of 9908

List of positive integer factors of 9908 that divides 9908 without a remainder.

1,2,4,2477,4954,9908

Factors of 3611

List of positive integer factors of 3611 that divides 3611 without a remainder.

1,23,157,3611

Greatest Common Factor

We found the factors 9908,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 9908,3611 is 1.

Lets's calculate LCM of 392,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 324968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324968

Therefore, the GCF of Fractions 9908/392,3611/829 is 1/324968

Least Common Multiple of 392,829 with GCF Formula

Least Common Multiple of 392,829 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 392,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,829) = 1

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

GCF(392,829) x common factors =1 x 1 = 1

LCM(392,829) = ( 392 × 829 ) / 1

LCM(392,829) = 324968 / 1

LCM(392,829) = 324968


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 9908/392, 3611/829

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 9908/392, 3611/829?

Answer: GCF of Numerators as per given numbers 9908/392, 3611/829 is

GCF of Numerators i.e. for 9908,3611 is 1

LCM of denominators i.e. for 392,829 is 324968.

Thus, GCF of Fractions is 1/324968.Finally, GCF of Fractions for 9908/392, 3611/829 is 1/324968.