Greatest Common Factor of 425/27, 119/9834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 425/27, 119/9834

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 425/27,119/9834

Given fractions are 425/27,119/9834

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 425,119

Greatest Common Factor of Numerators i.e. GCF of 425,119 is 17 .

LCM of Denominators means LCM of 27,9834 as per the given fractions.

LCM of 27,9834 is 88506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 425,119

GCF of Fractions 425/27,119/9834 is 17/88506

17 425, 119
25, 7

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 425,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,119 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 425,119 . The biggest common factor number is the GCF number.
So the greatest common factor 425,119 is 17.

Lets's calculate LCM of 27,9834

3 27, 9834
9, 3278

∴ So the LCM of the given numbers is 3 x 9 x 3278 = 88506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/88506

Therefore, the GCF of Fractions 425/27,119/9834 is 17/88506

Least Common Multiple of 27,9834 with GCF Formula

Least Common Multiple of 27,9834 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 27,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,9834) = 3

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

GCF(27,9834) x common factors =3 x 1 = 3

LCM(27,9834) = ( 27 × 9834 ) / 3

LCM(27,9834) = 265518 / 3

LCM(27,9834) = 88506


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 425/27, 119/9834

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 425/27, 119/9834?

Answer: GCF of Numerators as per given numbers 425/27, 119/9834 is

GCF of Numerators i.e. for 425,119 is 17

LCM of denominators i.e. for 27,9834 is 88506.

Thus, GCF of Fractions is 17/88506.Finally, GCF of Fractions for 425/27, 119/9834 is 17/88506.