Greatest Common Factor of 7740/260, 4636/8775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7740/260, 4636/8775

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 7740/260,4636/8775

Given fractions are 7740/260,4636/8775

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 7740,4636

Greatest Common Factor of Numerators i.e. GCF of 7740,4636 is 4 .

LCM of Denominators means LCM of 260,8775 as per the given fractions.

LCM of 260,8775 is 35100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7740,4636

GCF of Fractions 7740/260,4636/8775 is 4/35100

2 7740, 4636
2 3870, 2318
1935, 1159

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7740,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 7740,4636 By Matching Biggest Common Factor Method

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 7740,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 7740,4636 is 4.

Lets's calculate LCM of 260,8775

5 260, 8775
13 52, 1755
4, 135

∴ So the LCM of the given numbers is 5 x 13 x 4 x 135 = 35100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35100

Therefore, the GCF of Fractions 7740/260,4636/8775 is 4/35100

Least Common Multiple of 260,8775 with GCF Formula

Least Common Multiple of 260,8775 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 260,8775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,8775) = 65

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

GCF(260,8775) x common factors =65 x 1 = 65

LCM(260,8775) = ( 260 × 8775 ) / 65

LCM(260,8775) = 2281500 / 65

LCM(260,8775) = 35100


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 7740/260, 4636/8775

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 7740/260, 4636/8775?

Answer: GCF of Numerators as per given numbers 7740/260, 4636/8775 is

GCF of Numerators i.e. for 7740,4636 is 4

LCM of denominators i.e. for 260,8775 is 35100.

Thus, GCF of Fractions is 4/35100.Finally, GCF of Fractions for 7740/260, 4636/8775 is 4/35100.