Greatest Common Factor of 8263/335, 1614/2675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8263/335, 1614/2675

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 8263/335,1614/2675

Given fractions are 8263/335,1614/2675

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 8263,1614

Greatest Common Factor of Numerators i.e. GCF of 8263,1614 is 1 .

LCM of Denominators means LCM of 335,2675 as per the given fractions.

LCM of 335,2675 is 179225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8263,1614

GCF of Fractions 8263/335,1614/2675 is 1/179225

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

Greatest Common Factor of 8263,1614 By Matching Biggest Common Factor Method

Greatest Common Factor of 8263,1614 By Matching Biggest Common Factor Method

Factors of 8263

List of positive integer factors of 8263 that divides 8263 without a remainder.

1,8263

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

Greatest Common Factor

We found the factors 8263,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,1614 is 1.

Lets's calculate LCM of 335,2675

5 335, 2675
67, 535

∴ So the LCM of the given numbers is 5 x 67 x 535 = 179225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179225

Therefore, the GCF of Fractions 8263/335,1614/2675 is 1/179225

Least Common Multiple of 335,2675 with GCF Formula

Least Common Multiple of 335,2675 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 335,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,2675) = 5

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

GCF(335,2675) x common factors =5 x 1 = 5

LCM(335,2675) = ( 335 × 2675 ) / 5

LCM(335,2675) = 896125 / 5

LCM(335,2675) = 179225


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 8263/335, 1614/2675

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 8263/335, 1614/2675?

Answer: GCF of Numerators as per given numbers 8263/335, 1614/2675 is

GCF of Numerators i.e. for 8263,1614 is 1

LCM of denominators i.e. for 335,2675 is 179225.

Thus, GCF of Fractions is 1/179225.Finally, GCF of Fractions for 8263/335, 1614/2675 is 1/179225.