Greatest Common Factor of 114/31, 369/41, 208/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 114/31, 369/41, 208/59

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 114/31,369/41,208/59

Given fractions are 114/31,369/41,208/59

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 114,369,208

Greatest Common Factor of Numerators i.e. GCF of 114,369,208 is 1 .

LCM of Denominators means LCM of 31,41,59 as per the given fractions.

LCM of 31,41,59 is 74989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 114,369,208

GCF of Fractions 114/31,369/41,208/59 is 1/74989

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

Greatest Common Factor of 114,369,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,369,208 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 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 114,369,208 . The biggest common factor number is the GCF number.
So the greatest common factor 114,369,208 is 1.

Lets's calculate LCM of 31,41,59

Given numbers has no common factors except 1. So, there LCM is their product i.e 74989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74989

Therefore, the GCF of Fractions 114/31,369/41,208/59 is 1/74989

Least Common Multiple of 31,41,59 with GCF Formula

Least Common Multiple of 31,41,59 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 31,41,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,41,59) = 1

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

GCF(31,41,59) x common factors =1 x 1 = 1

LCM(31,41,59) = ( 31 × 41 × 59 ) / 1

LCM(31,41,59) = 74989 / 1

LCM(31,41,59) = 74989


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 114/31, 369/41, 208/59

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 114/31, 369/41, 208/59?

Answer: GCF of Numerators as per given numbers 114/31, 369/41, 208/59 is

GCF of Numerators i.e. for 114,369,208 is 1

LCM of denominators i.e. for 31,41,59 is 74989.

Thus, GCF of Fractions is 1/74989.Finally, GCF of Fractions for 114/31, 369/41, 208/59 is 1/74989.