Greatest Common Factor of 385/88, 184/75, 659/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/88, 184/75, 659/755

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 385/88,184/75,659/755

Given fractions are 385/88,184/75,659/755

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 385,184,659

Greatest Common Factor of Numerators i.e. GCF of 385,184,659 is 1 .

LCM of Denominators means LCM of 88,75,755 as per the given fractions.

LCM of 88,75,755 is 996600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,184,659

GCF of Fractions 385/88,184/75,659/755 is 1/996600

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

Greatest Common Factor of 385,184,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,184,659 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 385,184,659 . The biggest common factor number is the GCF number.
So the greatest common factor 385,184,659 is 1.

Lets's calculate LCM of 88,75,755

5 88, 75, 755
88, 15, 151

∴ So the LCM of the given numbers is 5 x 88 x 15 x 151 = 996600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996600

Therefore, the GCF of Fractions 385/88,184/75,659/755 is 1/996600

Least Common Multiple of 88,75,755 with GCF Formula

Least Common Multiple of 88,75,755 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 88,75,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,75,755) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(88,75,755) x common factors =1 x 5 = 5

LCM(88,75,755) = ( 88 × 75 × 755 ) / 5

LCM(88,75,755) = 4983000 / 5

LCM(88,75,755) = 996600


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 385/88, 184/75, 659/755

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 385/88, 184/75, 659/755?

Answer: GCF of Numerators as per given numbers 385/88, 184/75, 659/755 is

GCF of Numerators i.e. for 385,184,659 is 1

LCM of denominators i.e. for 88,75,755 is 996600.

Thus, GCF of Fractions is 1/996600.Finally, GCF of Fractions for 385/88, 184/75, 659/755 is 1/996600.