Greatest Common Factor of 4486/61, 7514/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4486/61, 7514/333

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 4486/61,7514/333

Given fractions are 4486/61,7514/333

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 4486,7514

Greatest Common Factor of Numerators i.e. GCF of 4486,7514 is 2 .

LCM of Denominators means LCM of 61,333 as per the given fractions.

LCM of 61,333 is 20313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4486,7514

GCF of Fractions 4486/61,7514/333 is 2/20313

2 4486, 7514
2243, 3757

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

Greatest Common Factor of 4486,7514 By Matching Biggest Common Factor Method

Greatest Common Factor of 4486,7514 By Matching Biggest Common Factor Method

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1,2,2243,4486

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1,2,13,17,26,34,221,289,442,578,3757,7514

Greatest Common Factor

We found the factors 4486,7514 . The biggest common factor number is the GCF number.
So the greatest common factor 4486,7514 is 2.

Lets's calculate LCM of 61,333

Given numbers has no common factors except 1. So, there LCM is their product i.e 20313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20313

Therefore, the GCF of Fractions 4486/61,7514/333 is 2/20313

Least Common Multiple of 61,333 with GCF Formula

Least Common Multiple of 61,333 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 61,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,333) = 1

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

GCF(61,333) x common factors =1 x 1 = 1

LCM(61,333) = ( 61 × 333 ) / 1

LCM(61,333) = 20313 / 1

LCM(61,333) = 20313


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 4486/61, 7514/333

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 4486/61, 7514/333?

Answer: GCF of Numerators as per given numbers 4486/61, 7514/333 is

GCF of Numerators i.e. for 4486,7514 is 2

LCM of denominators i.e. for 61,333 is 20313.

Thus, GCF of Fractions is 2/20313.Finally, GCF of Fractions for 4486/61, 7514/333 is 2/20313.