Greatest Common Factor of 871/186, 7498/7103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/186, 7498/7103

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 871/186,7498/7103

Given fractions are 871/186,7498/7103

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 871,7498

Greatest Common Factor of Numerators i.e. GCF of 871,7498 is 1 .

LCM of Denominators means LCM of 186,7103 as per the given fractions.

LCM of 186,7103 is 1321158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,7498

GCF of Fractions 871/186,7498/7103 is 1/1321158

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

Greatest Common Factor of 871,7498 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,7498 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1,2,23,46,163,326,3749,7498

Greatest Common Factor

We found the factors 871,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 871,7498 is 1.

Lets's calculate LCM of 186,7103

Given numbers has no common factors except 1. So, there LCM is their product i.e 1321158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1321158

Therefore, the GCF of Fractions 871/186,7498/7103 is 1/1321158

Least Common Multiple of 186,7103 with GCF Formula

Least Common Multiple of 186,7103 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 186,7103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,7103) = 1

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

GCF(186,7103) x common factors =1 x 1 = 1

LCM(186,7103) = ( 186 × 7103 ) / 1

LCM(186,7103) = 1321158 / 1

LCM(186,7103) = 1321158


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 871/186, 7498/7103

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 871/186, 7498/7103?

Answer: GCF of Numerators as per given numbers 871/186, 7498/7103 is

GCF of Numerators i.e. for 871,7498 is 1

LCM of denominators i.e. for 186,7103 is 1321158.

Thus, GCF of Fractions is 1/1321158.Finally, GCF of Fractions for 871/186, 7498/7103 is 1/1321158.