Greatest Common Factor of 4616/73, 6518/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4616/73, 6518/643

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 4616/73,6518/643

Given fractions are 4616/73,6518/643

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 4616,6518

Greatest Common Factor of Numerators i.e. GCF of 4616,6518 is 2 .

LCM of Denominators means LCM of 73,643 as per the given fractions.

LCM of 73,643 is 46939 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4616,6518

GCF of Fractions 4616/73,6518/643 is 2/46939

2 4616, 6518
2308, 3259

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

Greatest Common Factor of 4616,6518 By Matching Biggest Common Factor Method

Greatest Common Factor of 4616,6518 By Matching Biggest Common Factor Method

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Factors of 6518

List of positive integer factors of 6518 that divides 6518 without a remainder.

1,2,3259,6518

Greatest Common Factor

We found the factors 4616,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 4616,6518 is 2.

Lets's calculate LCM of 73,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 46939

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46939

Therefore, the GCF of Fractions 4616/73,6518/643 is 2/46939

Least Common Multiple of 73,643 with GCF Formula

Least Common Multiple of 73,643 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 73,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,643) = 1

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

GCF(73,643) x common factors =1 x 1 = 1

LCM(73,643) = ( 73 × 643 ) / 1

LCM(73,643) = 46939 / 1

LCM(73,643) = 46939


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 4616/73, 6518/643

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 4616/73, 6518/643?

Answer: GCF of Numerators as per given numbers 4616/73, 6518/643 is

GCF of Numerators i.e. for 4616,6518 is 2

LCM of denominators i.e. for 73,643 is 46939.

Thus, GCF of Fractions is 2/46939.Finally, GCF of Fractions for 4616/73, 6518/643 is 2/46939.