Greatest Common Factor of 185/81, 398/60, 525/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/81, 398/60, 525/480

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 185/81,398/60,525/480

Given fractions are 185/81,398/60,525/480

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 185,398,525

Greatest Common Factor of Numerators i.e. GCF of 185,398,525 is 1 .

LCM of Denominators means LCM of 81,60,480 as per the given fractions.

LCM of 81,60,480 is 12960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,398,525

GCF of Fractions 185/81,398/60,525/480 is 1/12960

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

Greatest Common Factor of 185,398,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,398,525 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 185,398,525 . The biggest common factor number is the GCF number.
So the greatest common factor 185,398,525 is 1.

Lets's calculate LCM of 81,60,480

2 81, 60, 480
2 81, 30, 240
3 81, 15, 120
5 27, 5, 40
27, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 27 x 1 x 8 = 12960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12960

Therefore, the GCF of Fractions 185/81,398/60,525/480 is 1/12960

Least Common Multiple of 81,60,480 with GCF Formula

Least Common Multiple of 81,60,480 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 81,60,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,60,480) = 3

common factors(in case of two or more numbers have common factors) = 60

GCF(81,60,480) x common factors =3 x 60 = 180

LCM(81,60,480) = ( 81 × 60 × 480 ) / 180

LCM(81,60,480) = 2332800 / 180

LCM(81,60,480) = 12960


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 185/81, 398/60, 525/480

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 185/81, 398/60, 525/480?

Answer: GCF of Numerators as per given numbers 185/81, 398/60, 525/480 is

GCF of Numerators i.e. for 185,398,525 is 1

LCM of denominators i.e. for 81,60,480 is 12960.

Thus, GCF of Fractions is 1/12960.Finally, GCF of Fractions for 185/81, 398/60, 525/480 is 1/12960.