Greatest Common Factor of 8038/277, 3001/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8038/277, 3001/465

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 8038/277,3001/465

Given fractions are 8038/277,3001/465

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 8038,3001

Greatest Common Factor of Numerators i.e. GCF of 8038,3001 is 1 .

LCM of Denominators means LCM of 277,465 as per the given fractions.

LCM of 277,465 is 128805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8038,3001

GCF of Fractions 8038/277,3001/465 is 1/128805

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

Greatest Common Factor of 8038,3001 By Matching Biggest Common Factor Method

Greatest Common Factor of 8038,3001 By Matching Biggest Common Factor Method

Factors of 8038

List of positive integer factors of 8038 that divides 8038 without a remainder.

1,2,4019,8038

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1,3001

Greatest Common Factor

We found the factors 8038,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,3001 is 1.

Lets's calculate LCM of 277,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 128805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128805

Therefore, the GCF of Fractions 8038/277,3001/465 is 1/128805

Least Common Multiple of 277,465 with GCF Formula

Least Common Multiple of 277,465 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 277,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,465) = 1

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

GCF(277,465) x common factors =1 x 1 = 1

LCM(277,465) = ( 277 × 465 ) / 1

LCM(277,465) = 128805 / 1

LCM(277,465) = 128805


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 8038/277, 3001/465

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 8038/277, 3001/465?

Answer: GCF of Numerators as per given numbers 8038/277, 3001/465 is

GCF of Numerators i.e. for 8038,3001 is 1

LCM of denominators i.e. for 277,465 is 128805.

Thus, GCF of Fractions is 1/128805.Finally, GCF of Fractions for 8038/277, 3001/465 is 1/128805.