Greatest Common Factor of 3298/775, 4482/6725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3298/775, 4482/6725

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 3298/775,4482/6725

Given fractions are 3298/775,4482/6725

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 3298,4482

Greatest Common Factor of Numerators i.e. GCF of 3298,4482 is 2 .

LCM of Denominators means LCM of 775,6725 as per the given fractions.

LCM of 775,6725 is 208475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3298,4482

GCF of Fractions 3298/775,4482/6725 is 2/208475

2 3298, 4482
1649, 2241

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3298,4482 By Matching Biggest Common Factor Method

Greatest Common Factor of 3298,4482 By Matching Biggest Common Factor Method

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Factors of 4482

List of positive integer factors of 4482 that divides 4482 without a remainder.

1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482

Greatest Common Factor

We found the factors 3298,4482 . The biggest common factor number is the GCF number.
So the greatest common factor 3298,4482 is 2.

Lets's calculate LCM of 775,6725

5 775, 6725
5 155, 1345
31, 269

∴ So the LCM of the given numbers is 5 x 5 x 31 x 269 = 208475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208475

Therefore, the GCF of Fractions 3298/775,4482/6725 is 2/208475

Least Common Multiple of 775,6725 with GCF Formula

Least Common Multiple of 775,6725 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 775,6725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,6725) = 25

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

GCF(775,6725) x common factors =25 x 1 = 25

LCM(775,6725) = ( 775 × 6725 ) / 25

LCM(775,6725) = 5211875 / 25

LCM(775,6725) = 208475


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 3298/775, 4482/6725

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 3298/775, 4482/6725?

Answer: GCF of Numerators as per given numbers 3298/775, 4482/6725 is

GCF of Numerators i.e. for 3298,4482 is 2

LCM of denominators i.e. for 775,6725 is 208475.

Thus, GCF of Fractions is 2/208475.Finally, GCF of Fractions for 3298/775, 4482/6725 is 2/208475.