Greatest Common Factor of 3111/48, 5827/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3111/48, 5827/274

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 3111/48,5827/274

Given fractions are 3111/48,5827/274

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 3111,5827

Greatest Common Factor of Numerators i.e. GCF of 3111,5827 is 1 .

LCM of Denominators means LCM of 48,274 as per the given fractions.

LCM of 48,274 is 6576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3111,5827

GCF of Fractions 3111/48,5827/274 is 1/6576

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

Greatest Common Factor of 3111,5827 By Matching Biggest Common Factor Method

Greatest Common Factor of 3111,5827 By Matching Biggest Common Factor Method

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1,3,17,51,61,183,1037,3111

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1,5827

Greatest Common Factor

We found the factors 3111,5827 . The biggest common factor number is the GCF number.
So the greatest common factor 3111,5827 is 1.

Lets's calculate LCM of 48,274

2 48, 274
24, 137

∴ So the LCM of the given numbers is 2 x 24 x 137 = 6576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6576

Therefore, the GCF of Fractions 3111/48,5827/274 is 1/6576

Least Common Multiple of 48,274 with GCF Formula

Least Common Multiple of 48,274 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 48,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,274) = 2

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

GCF(48,274) x common factors =2 x 1 = 2

LCM(48,274) = ( 48 × 274 ) / 2

LCM(48,274) = 13152 / 2

LCM(48,274) = 6576


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 3111/48, 5827/274

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 3111/48, 5827/274?

Answer: GCF of Numerators as per given numbers 3111/48, 5827/274 is

GCF of Numerators i.e. for 3111,5827 is 1

LCM of denominators i.e. for 48,274 is 6576.

Thus, GCF of Fractions is 1/6576.Finally, GCF of Fractions for 3111/48, 5827/274 is 1/6576.