Greatest Common Factor of 5235/55, 9103/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5235/55, 9103/719

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 5235/55,9103/719

Given fractions are 5235/55,9103/719

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 5235,9103

Greatest Common Factor of Numerators i.e. GCF of 5235,9103 is 1 .

LCM of Denominators means LCM of 55,719 as per the given fractions.

LCM of 55,719 is 39545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5235,9103

GCF of Fractions 5235/55,9103/719 is 1/39545

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

Greatest Common Factor of 5235,9103 By Matching Biggest Common Factor Method

Greatest Common Factor of 5235,9103 By Matching Biggest Common Factor Method

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1,3,5,15,349,1047,1745,5235

Factors of 9103

List of positive integer factors of 9103 that divides 9103 without a remainder.

1,9103

Greatest Common Factor

We found the factors 5235,9103 . The biggest common factor number is the GCF number.
So the greatest common factor 5235,9103 is 1.

Lets's calculate LCM of 55,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 39545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39545

Therefore, the GCF of Fractions 5235/55,9103/719 is 1/39545

Least Common Multiple of 55,719 with GCF Formula

Least Common Multiple of 55,719 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 55,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,719) = 1

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

GCF(55,719) x common factors =1 x 1 = 1

LCM(55,719) = ( 55 × 719 ) / 1

LCM(55,719) = 39545 / 1

LCM(55,719) = 39545


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 5235/55, 9103/719

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 5235/55, 9103/719?

Answer: GCF of Numerators as per given numbers 5235/55, 9103/719 is

GCF of Numerators i.e. for 5235,9103 is 1

LCM of denominators i.e. for 55,719 is 39545.

Thus, GCF of Fractions is 1/39545.Finally, GCF of Fractions for 5235/55, 9103/719 is 1/39545.