Greatest Common Factor of 3282/726, 8435/6325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3282/726, 8435/6325

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 3282/726,8435/6325

Given fractions are 3282/726,8435/6325

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 3282,8435

Greatest Common Factor of Numerators i.e. GCF of 3282,8435 is 1 .

LCM of Denominators means LCM of 726,6325 as per the given fractions.

LCM of 726,6325 is 417450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3282,8435

GCF of Fractions 3282/726,8435/6325 is 1/417450

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

Greatest Common Factor of 3282,8435 By Matching Biggest Common Factor Method

Greatest Common Factor of 3282,8435 By Matching Biggest Common Factor Method

Factors of 3282

List of positive integer factors of 3282 that divides 3282 without a remainder.

1,2,3,6,547,1094,1641,3282

Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 3282,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 3282,8435 is 1.

Lets's calculate LCM of 726,6325

11 726, 6325
66, 575

∴ So the LCM of the given numbers is 11 x 66 x 575 = 417450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417450

Therefore, the GCF of Fractions 3282/726,8435/6325 is 1/417450

Least Common Multiple of 726,6325 with GCF Formula

Least Common Multiple of 726,6325 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 726,6325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,6325) = 11

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

GCF(726,6325) x common factors =11 x 1 = 11

LCM(726,6325) = ( 726 × 6325 ) / 11

LCM(726,6325) = 4591950 / 11

LCM(726,6325) = 417450


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 3282/726, 8435/6325

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 3282/726, 8435/6325?

Answer: GCF of Numerators as per given numbers 3282/726, 8435/6325 is

GCF of Numerators i.e. for 3282,8435 is 1

LCM of denominators i.e. for 726,6325 is 417450.

Thus, GCF of Fractions is 1/417450.Finally, GCF of Fractions for 3282/726, 8435/6325 is 1/417450.