Greatest Common Factor of 380/75, 736/48, 107/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/75, 736/48, 107/299

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 380/75,736/48,107/299

Given fractions are 380/75,736/48,107/299

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 380,736,107

Greatest Common Factor of Numerators i.e. GCF of 380,736,107 is 1 .

LCM of Denominators means LCM of 75,48,299 as per the given fractions.

LCM of 75,48,299 is 358800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,736,107

GCF of Fractions 380/75,736/48,107/299 is 1/358800

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

Greatest Common Factor of 380,736,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,736,107 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 380,736,107 . The biggest common factor number is the GCF number.
So the greatest common factor 380,736,107 is 1.

Lets's calculate LCM of 75,48,299

3 75, 48, 299
25, 16, 299

∴ So the LCM of the given numbers is 3 x 25 x 16 x 299 = 358800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358800

Therefore, the GCF of Fractions 380/75,736/48,107/299 is 1/358800

Least Common Multiple of 75,48,299 with GCF Formula

Least Common Multiple of 75,48,299 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 75,48,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,48,299) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,48,299) x common factors =1 x 3 = 3

LCM(75,48,299) = ( 75 × 48 × 299 ) / 3

LCM(75,48,299) = 1076400 / 3

LCM(75,48,299) = 358800


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 380/75, 736/48, 107/299

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 380/75, 736/48, 107/299?

Answer: GCF of Numerators as per given numbers 380/75, 736/48, 107/299 is

GCF of Numerators i.e. for 380,736,107 is 1

LCM of denominators i.e. for 75,48,299 is 358800.

Thus, GCF of Fractions is 1/358800.Finally, GCF of Fractions for 380/75, 736/48, 107/299 is 1/358800.