Greatest Common Factor of 240/916, 3802/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/916, 3802/184

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 240/916,3802/184

Given fractions are 240/916,3802/184

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 240,3802

Greatest Common Factor of Numerators i.e. GCF of 240,3802 is 2 .

LCM of Denominators means LCM of 916,184 as per the given fractions.

LCM of 916,184 is 42136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,3802

GCF of Fractions 240/916,3802/184 is 2/42136

2 240, 3802
120, 1901

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

Greatest Common Factor of 240,3802 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,3802 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1,2,1901,3802

Greatest Common Factor

We found the factors 240,3802 . The biggest common factor number is the GCF number.
So the greatest common factor 240,3802 is 2.

Lets's calculate LCM of 916,184

2 916, 184
2 458, 92
229, 46

∴ So the LCM of the given numbers is 2 x 2 x 229 x 46 = 42136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42136

Therefore, the GCF of Fractions 240/916,3802/184 is 2/42136

Least Common Multiple of 916,184 with GCF Formula

Least Common Multiple of 916,184 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 916,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,184) = 4

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

GCF(916,184) x common factors =4 x 1 = 4

LCM(916,184) = ( 916 × 184 ) / 4

LCM(916,184) = 168544 / 4

LCM(916,184) = 42136


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 240/916, 3802/184

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 240/916, 3802/184?

Answer: GCF of Numerators as per given numbers 240/916, 3802/184 is

GCF of Numerators i.e. for 240,3802 is 2

LCM of denominators i.e. for 916,184 is 42136.

Thus, GCF of Fractions is 2/42136.Finally, GCF of Fractions for 240/916, 3802/184 is 2/42136.