Greatest Common Factor of 4616/19, 3312/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4616/19, 3312/396

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 4616/19,3312/396

Given fractions are 4616/19,3312/396

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 4616,3312

Greatest Common Factor of Numerators i.e. GCF of 4616,3312 is 8 .

LCM of Denominators means LCM of 19,396 as per the given fractions.

LCM of 19,396 is 7524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4616,3312

GCF of Fractions 4616/19,3312/396 is 8/7524

2 4616, 3312
2 2308, 1656
2 1154, 828
577, 414

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4616,3312 By Matching Biggest Common Factor Method

Greatest Common Factor of 4616,3312 By Matching Biggest Common Factor Method

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312

Greatest Common Factor

We found the factors 4616,3312 . The biggest common factor number is the GCF number.
So the greatest common factor 4616,3312 is 8.

Lets's calculate LCM of 19,396

Given numbers has no common factors except 1. So, there LCM is their product i.e 7524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7524

Therefore, the GCF of Fractions 4616/19,3312/396 is 8/7524

Least Common Multiple of 19,396 with GCF Formula

Least Common Multiple of 19,396 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 19,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,396) = 1

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

GCF(19,396) x common factors =1 x 1 = 1

LCM(19,396) = ( 19 × 396 ) / 1

LCM(19,396) = 7524 / 1

LCM(19,396) = 7524


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 4616/19, 3312/396

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 4616/19, 3312/396?

Answer: GCF of Numerators as per given numbers 4616/19, 3312/396 is

GCF of Numerators i.e. for 4616,3312 is 8

LCM of denominators i.e. for 19,396 is 7524.

Thus, GCF of Fractions is 8/7524.Finally, GCF of Fractions for 4616/19, 3312/396 is 8/7524.