Greatest Common Factor of 5331/49, 1306/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5331/49, 1306/118

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 5331/49,1306/118

Given fractions are 5331/49,1306/118

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 5331,1306

Greatest Common Factor of Numerators i.e. GCF of 5331,1306 is 1 .

LCM of Denominators means LCM of 49,118 as per the given fractions.

LCM of 49,118 is 5782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5331,1306

GCF of Fractions 5331/49,1306/118 is 1/5782

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

Greatest Common Factor of 5331,1306 By Matching Biggest Common Factor Method

Greatest Common Factor of 5331,1306 By Matching Biggest Common Factor Method

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1,3,1777,5331

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1,2,653,1306

Greatest Common Factor

We found the factors 5331,1306 . The biggest common factor number is the GCF number.
So the greatest common factor 5331,1306 is 1.

Lets's calculate LCM of 49,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 5782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5782

Therefore, the GCF of Fractions 5331/49,1306/118 is 1/5782

Least Common Multiple of 49,118 with GCF Formula

Least Common Multiple of 49,118 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 49,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,118) = 1

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

GCF(49,118) x common factors =1 x 1 = 1

LCM(49,118) = ( 49 × 118 ) / 1

LCM(49,118) = 5782 / 1

LCM(49,118) = 5782


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 5331/49, 1306/118

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 5331/49, 1306/118?

Answer: GCF of Numerators as per given numbers 5331/49, 1306/118 is

GCF of Numerators i.e. for 5331,1306 is 1

LCM of denominators i.e. for 49,118 is 5782.

Thus, GCF of Fractions is 1/5782.Finally, GCF of Fractions for 5331/49, 1306/118 is 1/5782.