Greatest Common Factor of 114/1006, 361/9539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 114/1006, 361/9539

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 114/1006,361/9539

Given fractions are 114/1006,361/9539

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 114,361

Greatest Common Factor of Numerators i.e. GCF of 114,361 is 19 .

LCM of Denominators means LCM of 1006,9539 as per the given fractions.

LCM of 1006,9539 is 9596234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 114,361

GCF of Fractions 114/1006,361/9539 is 19/9596234

19 114, 361
6, 19

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 114,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,361 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 114,361 . The biggest common factor number is the GCF number.
So the greatest common factor 114,361 is 19.

Lets's calculate LCM of 1006,9539

Given numbers has no common factors except 1. So, there LCM is their product i.e 9596234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/9596234

Therefore, the GCF of Fractions 114/1006,361/9539 is 19/9596234

Least Common Multiple of 1006,9539 with GCF Formula

Least Common Multiple of 1006,9539 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 1006,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1006,9539) = 1

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

GCF(1006,9539) x common factors =1 x 1 = 1

LCM(1006,9539) = ( 1006 × 9539 ) / 1

LCM(1006,9539) = 9596234 / 1

LCM(1006,9539) = 9596234


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 114/1006, 361/9539

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 114/1006, 361/9539?

Answer: GCF of Numerators as per given numbers 114/1006, 361/9539 is

GCF of Numerators i.e. for 114,361 is 19

LCM of denominators i.e. for 1006,9539 is 9596234.

Thus, GCF of Fractions is 19/9596234.Finally, GCF of Fractions for 114/1006, 361/9539 is 19/9596234.