Greatest Common Factor of 2081/675, 8255/6298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2081/675, 8255/6298

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 2081/675,8255/6298

Given fractions are 2081/675,8255/6298

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 2081,8255

Greatest Common Factor of Numerators i.e. GCF of 2081,8255 is 1 .

LCM of Denominators means LCM of 675,6298 as per the given fractions.

LCM of 675,6298 is 4251150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2081,8255

GCF of Fractions 2081/675,8255/6298 is 1/4251150

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

Greatest Common Factor of 2081,8255 By Matching Biggest Common Factor Method

Greatest Common Factor of 2081,8255 By Matching Biggest Common Factor Method

Factors of 2081

List of positive integer factors of 2081 that divides 2081 without a remainder.

1,2081

Factors of 8255

List of positive integer factors of 8255 that divides 8255 without a remainder.

1,5,13,65,127,635,1651,8255

Greatest Common Factor

We found the factors 2081,8255 . The biggest common factor number is the GCF number.
So the greatest common factor 2081,8255 is 1.

Lets's calculate LCM of 675,6298

Given numbers has no common factors except 1. So, there LCM is their product i.e 4251150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4251150

Therefore, the GCF of Fractions 2081/675,8255/6298 is 1/4251150

Least Common Multiple of 675,6298 with GCF Formula

Least Common Multiple of 675,6298 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 675,6298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,6298) = 1

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

GCF(675,6298) x common factors =1 x 1 = 1

LCM(675,6298) = ( 675 × 6298 ) / 1

LCM(675,6298) = 4251150 / 1

LCM(675,6298) = 4251150


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 2081/675, 8255/6298

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 2081/675, 8255/6298?

Answer: GCF of Numerators as per given numbers 2081/675, 8255/6298 is

GCF of Numerators i.e. for 2081,8255 is 1

LCM of denominators i.e. for 675,6298 is 4251150.

Thus, GCF of Fractions is 1/4251150.Finally, GCF of Fractions for 2081/675, 8255/6298 is 1/4251150.