Greatest Common Factor of 1101/11, 5060/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1101/11, 5060/742

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 1101/11,5060/742

Given fractions are 1101/11,5060/742

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 1101,5060

Greatest Common Factor of Numerators i.e. GCF of 1101,5060 is 1 .

LCM of Denominators means LCM of 11,742 as per the given fractions.

LCM of 11,742 is 8162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1101,5060

GCF of Fractions 1101/11,5060/742 is 1/8162

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

Greatest Common Factor of 1101,5060 By Matching Biggest Common Factor Method

Greatest Common Factor of 1101,5060 By Matching Biggest Common Factor Method

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1,3,367,1101

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060

Greatest Common Factor

We found the factors 1101,5060 . The biggest common factor number is the GCF number.
So the greatest common factor 1101,5060 is 1.

Lets's calculate LCM of 11,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 8162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8162

Therefore, the GCF of Fractions 1101/11,5060/742 is 1/8162

Least Common Multiple of 11,742 with GCF Formula

Least Common Multiple of 11,742 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 11,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,742) = 1

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

GCF(11,742) x common factors =1 x 1 = 1

LCM(11,742) = ( 11 × 742 ) / 1

LCM(11,742) = 8162 / 1

LCM(11,742) = 8162


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 1101/11, 5060/742

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 1101/11, 5060/742?

Answer: GCF of Numerators as per given numbers 1101/11, 5060/742 is

GCF of Numerators i.e. for 1101,5060 is 1

LCM of denominators i.e. for 11,742 is 8162.

Thus, GCF of Fractions is 1/8162.Finally, GCF of Fractions for 1101/11, 5060/742 is 1/8162.