Greatest Common Factor of 9835/758, 3955/7139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9835/758, 3955/7139

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 9835/758,3955/7139

Given fractions are 9835/758,3955/7139

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 9835,3955

Greatest Common Factor of Numerators i.e. GCF of 9835,3955 is 35 .

LCM of Denominators means LCM of 758,7139 as per the given fractions.

LCM of 758,7139 is 5411362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9835,3955

GCF of Fractions 9835/758,3955/7139 is 35/5411362

5 9835, 3955
7 1967, 791
281, 113

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 9835,3955 By Matching Biggest Common Factor Method

Greatest Common Factor of 9835,3955 By Matching Biggest Common Factor Method

Factors of 9835

List of positive integer factors of 9835 that divides 9835 without a remainder.

1,5,7,35,281,1405,1967,9835

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1,5,7,35,113,565,791,3955

Greatest Common Factor

We found the factors 9835,3955 . The biggest common factor number is the GCF number.
So the greatest common factor 9835,3955 is 35.

Lets's calculate LCM of 758,7139

Given numbers has no common factors except 1. So, there LCM is their product i.e 5411362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/5411362

Therefore, the GCF of Fractions 9835/758,3955/7139 is 35/5411362

Least Common Multiple of 758,7139 with GCF Formula

Least Common Multiple of 758,7139 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 758,7139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,7139) = 1

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

GCF(758,7139) x common factors =1 x 1 = 1

LCM(758,7139) = ( 758 × 7139 ) / 1

LCM(758,7139) = 5411362 / 1

LCM(758,7139) = 5411362


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 9835/758, 3955/7139

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 9835/758, 3955/7139?

Answer: GCF of Numerators as per given numbers 9835/758, 3955/7139 is

GCF of Numerators i.e. for 9835,3955 is 35

LCM of denominators i.e. for 758,7139 is 5411362.

Thus, GCF of Fractions is 35/5411362.Finally, GCF of Fractions for 9835/758, 3955/7139 is 35/5411362.