Greatest Common Factor of 1299/500, 7471/3142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1299/500, 7471/3142

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 1299/500,7471/3142

Given fractions are 1299/500,7471/3142

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 1299,7471

Greatest Common Factor of Numerators i.e. GCF of 1299,7471 is 1 .

LCM of Denominators means LCM of 500,3142 as per the given fractions.

LCM of 500,3142 is 785500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1299,7471

GCF of Fractions 1299/500,7471/3142 is 1/785500

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

Greatest Common Factor of 1299,7471 By Matching Biggest Common Factor Method

Greatest Common Factor of 1299,7471 By Matching Biggest Common Factor Method

Factors of 1299

List of positive integer factors of 1299 that divides 1299 without a remainder.

1,3,433,1299

Factors of 7471

List of positive integer factors of 7471 that divides 7471 without a remainder.

1,31,241,7471

Greatest Common Factor

We found the factors 1299,7471 . The biggest common factor number is the GCF number.
So the greatest common factor 1299,7471 is 1.

Lets's calculate LCM of 500,3142

2 500, 3142
250, 1571

∴ So the LCM of the given numbers is 2 x 250 x 1571 = 785500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785500

Therefore, the GCF of Fractions 1299/500,7471/3142 is 1/785500

Least Common Multiple of 500,3142 with GCF Formula

Least Common Multiple of 500,3142 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 500,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,3142) = 2

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

GCF(500,3142) x common factors =2 x 1 = 2

LCM(500,3142) = ( 500 × 3142 ) / 2

LCM(500,3142) = 1571000 / 2

LCM(500,3142) = 785500


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 1299/500, 7471/3142

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 1299/500, 7471/3142?

Answer: GCF of Numerators as per given numbers 1299/500, 7471/3142 is

GCF of Numerators i.e. for 1299,7471 is 1

LCM of denominators i.e. for 500,3142 is 785500.

Thus, GCF of Fractions is 1/785500.Finally, GCF of Fractions for 1299/500, 7471/3142 is 1/785500.