Greatest Common Factor of 3316/458, 4880/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3316/458, 4880/185

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 3316/458,4880/185

Given fractions are 3316/458,4880/185

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 3316,4880

Greatest Common Factor of Numerators i.e. GCF of 3316,4880 is 4 .

LCM of Denominators means LCM of 458,185 as per the given fractions.

LCM of 458,185 is 84730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3316,4880

GCF of Fractions 3316/458,4880/185 is 4/84730

2 3316, 4880
2 1658, 2440
829, 1220

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

Greatest Common Factor of 3316,4880 By Matching Biggest Common Factor Method

Greatest Common Factor of 3316,4880 By Matching Biggest Common Factor Method

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1,2,4,829,1658,3316

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors 3316,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 3316,4880 is 4.

Lets's calculate LCM of 458,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 84730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84730

Therefore, the GCF of Fractions 3316/458,4880/185 is 4/84730

Least Common Multiple of 458,185 with GCF Formula

Least Common Multiple of 458,185 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 458,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,185) = 1

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

GCF(458,185) x common factors =1 x 1 = 1

LCM(458,185) = ( 458 × 185 ) / 1

LCM(458,185) = 84730 / 1

LCM(458,185) = 84730


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 3316/458, 4880/185

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 3316/458, 4880/185?

Answer: GCF of Numerators as per given numbers 3316/458, 4880/185 is

GCF of Numerators i.e. for 3316,4880 is 4

LCM of denominators i.e. for 458,185 is 84730.

Thus, GCF of Fractions is 4/84730.Finally, GCF of Fractions for 3316/458, 4880/185 is 4/84730.