Greatest Common Factor of 3073/780, 8514/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3073/780, 8514/483

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 3073/780,8514/483

Given fractions are 3073/780,8514/483

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 3073,8514

Greatest Common Factor of Numerators i.e. GCF of 3073,8514 is 1 .

LCM of Denominators means LCM of 780,483 as per the given fractions.

LCM of 780,483 is 125580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3073,8514

GCF of Fractions 3073/780,8514/483 is 1/125580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3073,8514 By Matching Biggest Common Factor Method

Greatest Common Factor of 3073,8514 By Matching Biggest Common Factor Method

Factors of 3073

List of positive integer factors of 3073 that divides 3073 without a remainder.

1,7,439,3073

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514

Greatest Common Factor

We found the factors 3073,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 3073,8514 is 1.

Lets's calculate LCM of 780,483

3 780, 483
260, 161

∴ So the LCM of the given numbers is 3 x 260 x 161 = 125580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125580

Therefore, the GCF of Fractions 3073/780,8514/483 is 1/125580

Least Common Multiple of 780,483 with GCF Formula

Least Common Multiple of 780,483 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 780,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,483) = 3

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

GCF(780,483) x common factors =3 x 1 = 3

LCM(780,483) = ( 780 × 483 ) / 3

LCM(780,483) = 376740 / 3

LCM(780,483) = 125580


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 3073/780, 8514/483

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 3073/780, 8514/483?

Answer: GCF of Numerators as per given numbers 3073/780, 8514/483 is

GCF of Numerators i.e. for 3073,8514 is 1

LCM of denominators i.e. for 780,483 is 125580.

Thus, GCF of Fractions is 1/125580.Finally, GCF of Fractions for 3073/780, 8514/483 is 1/125580.