Greatest Common Factor of 4610/736, 7676/8047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4610/736, 7676/8047

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 4610/736,7676/8047

Given fractions are 4610/736,7676/8047

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 4610,7676

Greatest Common Factor of Numerators i.e. GCF of 4610,7676 is 2 .

LCM of Denominators means LCM of 736,8047 as per the given fractions.

LCM of 736,8047 is 5922592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4610,7676

GCF of Fractions 4610/736,7676/8047 is 2/5922592

2 4610, 7676
2305, 3838

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

Greatest Common Factor of 4610,7676 By Matching Biggest Common Factor Method

Greatest Common Factor of 4610,7676 By Matching Biggest Common Factor Method

Factors of 4610

List of positive integer factors of 4610 that divides 4610 without a remainder.

1,2,5,10,461,922,2305,4610

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1,2,4,19,38,76,101,202,404,1919,3838,7676

Greatest Common Factor

We found the factors 4610,7676 . The biggest common factor number is the GCF number.
So the greatest common factor 4610,7676 is 2.

Lets's calculate LCM of 736,8047

Given numbers has no common factors except 1. So, there LCM is their product i.e 5922592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5922592

Therefore, the GCF of Fractions 4610/736,7676/8047 is 2/5922592

Least Common Multiple of 736,8047 with GCF Formula

Least Common Multiple of 736,8047 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 736,8047 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8047) = 1

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

GCF(736,8047) x common factors =1 x 1 = 1

LCM(736,8047) = ( 736 × 8047 ) / 1

LCM(736,8047) = 5922592 / 1

LCM(736,8047) = 5922592


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 4610/736, 7676/8047

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 4610/736, 7676/8047?

Answer: GCF of Numerators as per given numbers 4610/736, 7676/8047 is

GCF of Numerators i.e. for 4610,7676 is 2

LCM of denominators i.e. for 736,8047 is 5922592.

Thus, GCF of Fractions is 2/5922592.Finally, GCF of Fractions for 4610/736, 7676/8047 is 2/5922592.