Greatest Common Factor of 9953/116, 3490/6135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9953/116, 3490/6135

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 9953/116,3490/6135

Given fractions are 9953/116,3490/6135

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 9953,3490

Greatest Common Factor of Numerators i.e. GCF of 9953,3490 is 1 .

LCM of Denominators means LCM of 116,6135 as per the given fractions.

LCM of 116,6135 is 711660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9953,3490

GCF of Fractions 9953/116,3490/6135 is 1/711660

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

Greatest Common Factor of 9953,3490 By Matching Biggest Common Factor Method

Greatest Common Factor of 9953,3490 By Matching Biggest Common Factor Method

Factors of 9953

List of positive integer factors of 9953 that divides 9953 without a remainder.

1,37,269,9953

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 9953,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 9953,3490 is 1.


Lets's calculate LCM of 116,6135

Given numbers has no common factors except 1. So, there LCM is their product i.e 711660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711660

Therefore, the GCF of Fractions 9953/116,3490/6135 is 1/711660

Least Common Multiple of 116,6135 with GCF Formula

Least Common Multiple of 116,6135 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 116,6135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,6135) = 1

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

GCF(116,6135) x common factors =1 x 1 = 1

LCM(116,6135) = ( 116 × 6135 ) / 1

LCM(116,6135) = 711660 / 1

LCM(116,6135) = 711660


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9953/116, 3490/6135

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 9953/116, 3490/6135?

Answer: GCF of Numerators as per given numbers 9953/116, 3490/6135 is

GCF of Numerators i.e. for 9953,3490 is 1

LCM of denominators i.e. for 116,6135 is 711660.

Thus, GCF of Fractions is 1/711660.Finally, GCF of Fractions for 9953/116, 3490/6135 is 1/711660.