Greatest Common Factor of 8045/58, 7954/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8045/58, 7954/484

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 8045/58,7954/484

Given fractions are 8045/58,7954/484

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 8045,7954

Greatest Common Factor of Numerators i.e. GCF of 8045,7954 is 1 .

LCM of Denominators means LCM of 58,484 as per the given fractions.

LCM of 58,484 is 14036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8045,7954

GCF of Fractions 8045/58,7954/484 is 1/14036

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

Greatest Common Factor of 8045,7954 By Matching Biggest Common Factor Method

Greatest Common Factor of 8045,7954 By Matching Biggest Common Factor Method

Factors of 8045

List of positive integer factors of 8045 that divides 8045 without a remainder.

1,5,1609,8045

Factors of 7954

List of positive integer factors of 7954 that divides 7954 without a remainder.

1,2,41,82,97,194,3977,7954

Greatest Common Factor

We found the factors 8045,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,7954 is 1.

Lets's calculate LCM of 58,484

2 58, 484
29, 242

∴ So the LCM of the given numbers is 2 x 29 x 242 = 14036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14036

Therefore, the GCF of Fractions 8045/58,7954/484 is 1/14036

Least Common Multiple of 58,484 with GCF Formula

Least Common Multiple of 58,484 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 58,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,484) = 2

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

GCF(58,484) x common factors =2 x 1 = 2

LCM(58,484) = ( 58 × 484 ) / 2

LCM(58,484) = 28072 / 2

LCM(58,484) = 14036


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 8045/58, 7954/484

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 8045/58, 7954/484?

Answer: GCF of Numerators as per given numbers 8045/58, 7954/484 is

GCF of Numerators i.e. for 8045,7954 is 1

LCM of denominators i.e. for 58,484 is 14036.

Thus, GCF of Fractions is 1/14036.Finally, GCF of Fractions for 8045/58, 7954/484 is 1/14036.