Greatest Common Factor of 1316/178, 3915/4080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1316/178, 3915/4080

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 1316/178,3915/4080

Given fractions are 1316/178,3915/4080

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 1316,3915

Greatest Common Factor of Numerators i.e. GCF of 1316,3915 is 1 .

LCM of Denominators means LCM of 178,4080 as per the given fractions.

LCM of 178,4080 is 363120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1316,3915

GCF of Fractions 1316/178,3915/4080 is 1/363120

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

Greatest Common Factor of 1316,3915 By Matching Biggest Common Factor Method

Greatest Common Factor of 1316,3915 By Matching Biggest Common Factor Method

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915

Greatest Common Factor

We found the factors 1316,3915 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,3915 is 1.

Lets's calculate LCM of 178,4080

2 178, 4080
89, 2040

∴ So the LCM of the given numbers is 2 x 89 x 2040 = 363120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363120

Therefore, the GCF of Fractions 1316/178,3915/4080 is 1/363120

Least Common Multiple of 178,4080 with GCF Formula

Least Common Multiple of 178,4080 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 178,4080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,4080) = 2

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

GCF(178,4080) x common factors =2 x 1 = 2

LCM(178,4080) = ( 178 × 4080 ) / 2

LCM(178,4080) = 726240 / 2

LCM(178,4080) = 363120


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 1316/178, 3915/4080

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 1316/178, 3915/4080?

Answer: GCF of Numerators as per given numbers 1316/178, 3915/4080 is

GCF of Numerators i.e. for 1316,3915 is 1

LCM of denominators i.e. for 178,4080 is 363120.

Thus, GCF of Fractions is 1/363120.Finally, GCF of Fractions for 1316/178, 3915/4080 is 1/363120.