Greatest Common Factor of 3293/527, 8210/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3293/527, 8210/332

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 3293/527,8210/332

Given fractions are 3293/527,8210/332

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 3293,8210

Greatest Common Factor of Numerators i.e. GCF of 3293,8210 is 1 .

LCM of Denominators means LCM of 527,332 as per the given fractions.

LCM of 527,332 is 174964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3293,8210

GCF of Fractions 3293/527,8210/332 is 1/174964

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

Greatest Common Factor of 3293,8210 By Matching Biggest Common Factor Method

Greatest Common Factor of 3293,8210 By Matching Biggest Common Factor Method

Factors of 3293

List of positive integer factors of 3293 that divides 3293 without a remainder.

1,37,89,3293

Factors of 8210

List of positive integer factors of 8210 that divides 8210 without a remainder.

1,2,5,10,821,1642,4105,8210

Greatest Common Factor

We found the factors 3293,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 3293,8210 is 1.

Lets's calculate LCM of 527,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 174964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174964

Therefore, the GCF of Fractions 3293/527,8210/332 is 1/174964

Least Common Multiple of 527,332 with GCF Formula

Least Common Multiple of 527,332 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 527,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,332) = 1

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

GCF(527,332) x common factors =1 x 1 = 1

LCM(527,332) = ( 527 × 332 ) / 1

LCM(527,332) = 174964 / 1

LCM(527,332) = 174964


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 3293/527, 8210/332

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 3293/527, 8210/332?

Answer: GCF of Numerators as per given numbers 3293/527, 8210/332 is

GCF of Numerators i.e. for 3293,8210 is 1

LCM of denominators i.e. for 527,332 is 174964.

Thus, GCF of Fractions is 1/174964.Finally, GCF of Fractions for 3293/527, 8210/332 is 1/174964.