Greatest Common Factor of 7649/336, 4848/3478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7649/336, 4848/3478

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 7649/336,4848/3478

Given fractions are 7649/336,4848/3478

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 7649,4848

Greatest Common Factor of Numerators i.e. GCF of 7649,4848 is 1 .

LCM of Denominators means LCM of 336,3478 as per the given fractions.

LCM of 336,3478 is 584304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7649,4848

GCF of Fractions 7649/336,4848/3478 is 1/584304

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

Greatest Common Factor of 7649,4848 By Matching Biggest Common Factor Method

Greatest Common Factor of 7649,4848 By Matching Biggest Common Factor Method

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Factors of 4848

List of positive integer factors of 4848 that divides 4848 without a remainder.

1,2,3,4,6,8,12,16,24,48,101,202,303,404,606,808,1212,1616,2424,4848

Greatest Common Factor

We found the factors 7649,4848 . The biggest common factor number is the GCF number.
So the greatest common factor 7649,4848 is 1.

Lets's calculate LCM of 336,3478

2 336, 3478
168, 1739

∴ So the LCM of the given numbers is 2 x 168 x 1739 = 584304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584304

Therefore, the GCF of Fractions 7649/336,4848/3478 is 1/584304

Least Common Multiple of 336,3478 with GCF Formula

Least Common Multiple of 336,3478 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 336,3478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,3478) = 2

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

GCF(336,3478) x common factors =2 x 1 = 2

LCM(336,3478) = ( 336 × 3478 ) / 2

LCM(336,3478) = 1168608 / 2

LCM(336,3478) = 584304


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 7649/336, 4848/3478

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 7649/336, 4848/3478?

Answer: GCF of Numerators as per given numbers 7649/336, 4848/3478 is

GCF of Numerators i.e. for 7649,4848 is 1

LCM of denominators i.e. for 336,3478 is 584304.

Thus, GCF of Fractions is 1/584304.Finally, GCF of Fractions for 7649/336, 4848/3478 is 1/584304.