Greatest Common Factor of 3293/712, 9839/3704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3293/712, 9839/3704

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 3293/712,9839/3704

Given fractions are 3293/712,9839/3704

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 3293,9839

Greatest Common Factor of Numerators i.e. GCF of 3293,9839 is 1 .

LCM of Denominators means LCM of 712,3704 as per the given fractions.

LCM of 712,3704 is 329656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3293,9839

GCF of Fractions 3293/712,9839/3704 is 1/329656

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

Greatest Common Factor of 3293,9839 By Matching Biggest Common Factor Method

Greatest Common Factor of 3293,9839 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 9839

List of positive integer factors of 9839 that divides 9839 without a remainder.

1,9839

Greatest Common Factor

We found the factors 3293,9839 . The biggest common factor number is the GCF number.
So the greatest common factor 3293,9839 is 1.

Lets's calculate LCM of 712,3704

2 712, 3704
2 356, 1852
2 178, 926
89, 463

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 463 = 329656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329656

Therefore, the GCF of Fractions 3293/712,9839/3704 is 1/329656

Least Common Multiple of 712,3704 with GCF Formula

Least Common Multiple of 712,3704 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 712,3704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,3704) = 8

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

GCF(712,3704) x common factors =8 x 1 = 8

LCM(712,3704) = ( 712 × 3704 ) / 8

LCM(712,3704) = 2637248 / 8

LCM(712,3704) = 329656


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 3293/712, 9839/3704

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 3293/712, 9839/3704?

Answer: GCF of Numerators as per given numbers 3293/712, 9839/3704 is

GCF of Numerators i.e. for 3293,9839 is 1

LCM of denominators i.e. for 712,3704 is 329656.

Thus, GCF of Fractions is 1/329656.Finally, GCF of Fractions for 3293/712, 9839/3704 is 1/329656.