Greatest Common Factor of 1103/994, 5742/3925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1103/994, 5742/3925

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 1103/994,5742/3925

Given fractions are 1103/994,5742/3925

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 1103,5742

Greatest Common Factor of Numerators i.e. GCF of 1103,5742 is 1 .

LCM of Denominators means LCM of 994,3925 as per the given fractions.

LCM of 994,3925 is 3901450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1103,5742

GCF of Fractions 1103/994,5742/3925 is 1/3901450

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

Greatest Common Factor of 1103,5742 By Matching Biggest Common Factor Method

Greatest Common Factor of 1103,5742 By Matching Biggest Common Factor Method

Factors of 1103

List of positive integer factors of 1103 that divides 1103 without a remainder.

1,1103

Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742

Greatest Common Factor

We found the factors 1103,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 1103,5742 is 1.

Lets's calculate LCM of 994,3925

Given numbers has no common factors except 1. So, there LCM is their product i.e 3901450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3901450

Therefore, the GCF of Fractions 1103/994,5742/3925 is 1/3901450

Least Common Multiple of 994,3925 with GCF Formula

Least Common Multiple of 994,3925 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 994,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,3925) = 1

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

GCF(994,3925) x common factors =1 x 1 = 1

LCM(994,3925) = ( 994 × 3925 ) / 1

LCM(994,3925) = 3901450 / 1

LCM(994,3925) = 3901450


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 1103/994, 5742/3925

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 1103/994, 5742/3925?

Answer: GCF of Numerators as per given numbers 1103/994, 5742/3925 is

GCF of Numerators i.e. for 1103,5742 is 1

LCM of denominators i.e. for 994,3925 is 3901450.

Thus, GCF of Fractions is 1/3901450.Finally, GCF of Fractions for 1103/994, 5742/3925 is 1/3901450.