Greatest Common Factor of 7368/464, 3261/1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7368/464, 3261/1656

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 7368/464,3261/1656

Given fractions are 7368/464,3261/1656

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 7368,3261

Greatest Common Factor of Numerators i.e. GCF of 7368,3261 is 3 .

LCM of Denominators means LCM of 464,1656 as per the given fractions.

LCM of 464,1656 is 96048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7368,3261

GCF of Fractions 7368/464,3261/1656 is 3/96048

3 7368, 3261
2456, 1087

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7368,3261 By Matching Biggest Common Factor Method

Greatest Common Factor of 7368,3261 By Matching Biggest Common Factor Method

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368

Factors of 3261

List of positive integer factors of 3261 that divides 3261 without a remainder.

1,3,1087,3261

Greatest Common Factor

We found the factors 7368,3261 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,3261 is 3.

Lets's calculate LCM of 464,1656

2 464, 1656
2 232, 828
2 116, 414
58, 207

∴ So the LCM of the given numbers is 2 x 2 x 2 x 58 x 207 = 96048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96048

Therefore, the GCF of Fractions 7368/464,3261/1656 is 3/96048

Least Common Multiple of 464,1656 with GCF Formula

Least Common Multiple of 464,1656 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 464,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,1656) = 8

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

GCF(464,1656) x common factors =8 x 1 = 8

LCM(464,1656) = ( 464 × 1656 ) / 8

LCM(464,1656) = 768384 / 8

LCM(464,1656) = 96048


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7368/464, 3261/1656

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 7368/464, 3261/1656?

Answer: GCF of Numerators as per given numbers 7368/464, 3261/1656 is

GCF of Numerators i.e. for 7368,3261 is 3

LCM of denominators i.e. for 464,1656 is 96048.

Thus, GCF of Fractions is 3/96048.Finally, GCF of Fractions for 7368/464, 3261/1656 is 3/96048.