Greatest Common Factor of 611/11, 741/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/11, 741/263

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 611/11,741/263

Given fractions are 611/11,741/263

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 611,741

Greatest Common Factor of Numerators i.e. GCF of 611,741 is 13 .

LCM of Denominators means LCM of 11,263 as per the given fractions.

LCM of 11,263 is 2893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,741

GCF of Fractions 611/11,741/263 is 13/2893

13 611, 741
47, 57

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 611,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,741 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 611,741 . The biggest common factor number is the GCF number.
So the greatest common factor 611,741 is 13.

Lets's calculate LCM of 11,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 2893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2893

Therefore, the GCF of Fractions 611/11,741/263 is 13/2893

Least Common Multiple of 11,263 with GCF Formula

Least Common Multiple of 11,263 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 11,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,263) = 1

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

GCF(11,263) x common factors =1 x 1 = 1

LCM(11,263) = ( 11 × 263 ) / 1

LCM(11,263) = 2893 / 1

LCM(11,263) = 2893


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 611/11, 741/263

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 611/11, 741/263?

Answer: GCF of Numerators as per given numbers 611/11, 741/263 is

GCF of Numerators i.e. for 611,741 is 13

LCM of denominators i.e. for 11,263 is 2893.

Thus, GCF of Fractions is 13/2893.Finally, GCF of Fractions for 611/11, 741/263 is 13/2893.