Greatest Common Factor of 3368/465, 9748/8397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3368/465, 9748/8397

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 3368/465,9748/8397

Given fractions are 3368/465,9748/8397

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 3368,9748

Greatest Common Factor of Numerators i.e. GCF of 3368,9748 is 4 .

LCM of Denominators means LCM of 465,8397 as per the given fractions.

LCM of 465,8397 is 1301535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3368,9748

GCF of Fractions 3368/465,9748/8397 is 4/1301535

2 3368, 9748
2 1684, 4874
842, 2437

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3368,9748 By Matching Biggest Common Factor Method

Greatest Common Factor of 3368,9748 By Matching Biggest Common Factor Method

Factors of 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1,2,4,8,421,842,1684,3368

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 3368,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 3368,9748 is 4.

Lets's calculate LCM of 465,8397

3 465, 8397
155, 2799

∴ So the LCM of the given numbers is 3 x 155 x 2799 = 1301535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1301535

Therefore, the GCF of Fractions 3368/465,9748/8397 is 4/1301535

Least Common Multiple of 465,8397 with GCF Formula

Least Common Multiple of 465,8397 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 465,8397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,8397) = 3

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

GCF(465,8397) x common factors =3 x 1 = 3

LCM(465,8397) = ( 465 × 8397 ) / 3

LCM(465,8397) = 3904605 / 3

LCM(465,8397) = 1301535


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 3368/465, 9748/8397

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 3368/465, 9748/8397?

Answer: GCF of Numerators as per given numbers 3368/465, 9748/8397 is

GCF of Numerators i.e. for 3368,9748 is 4

LCM of denominators i.e. for 465,8397 is 1301535.

Thus, GCF of Fractions is 4/1301535.Finally, GCF of Fractions for 3368/465, 9748/8397 is 4/1301535.