Greatest Common Factor of 7500/66, 8003/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7500/66, 8003/310

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 7500/66,8003/310

Given fractions are 7500/66,8003/310

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 7500,8003

Greatest Common Factor of Numerators i.e. GCF of 7500,8003 is 1 .

LCM of Denominators means LCM of 66,310 as per the given fractions.

LCM of 66,310 is 10230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7500,8003

GCF of Fractions 7500/66,8003/310 is 1/10230

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

Greatest Common Factor of 7500,8003 By Matching Biggest Common Factor Method

Greatest Common Factor of 7500,8003 By Matching Biggest Common Factor Method

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1,53,151,8003

Greatest Common Factor

We found the factors 7500,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,8003 is 1.

Lets's calculate LCM of 66,310

2 66, 310
33, 155

∴ So the LCM of the given numbers is 2 x 33 x 155 = 10230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10230

Therefore, the GCF of Fractions 7500/66,8003/310 is 1/10230

Least Common Multiple of 66,310 with GCF Formula

Least Common Multiple of 66,310 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 66,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,310) = 2

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

GCF(66,310) x common factors =2 x 1 = 2

LCM(66,310) = ( 66 × 310 ) / 2

LCM(66,310) = 20460 / 2

LCM(66,310) = 10230


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 7500/66, 8003/310

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 7500/66, 8003/310?

Answer: GCF of Numerators as per given numbers 7500/66, 8003/310 is

GCF of Numerators i.e. for 7500,8003 is 1

LCM of denominators i.e. for 66,310 is 10230.

Thus, GCF of Fractions is 1/10230.Finally, GCF of Fractions for 7500/66, 8003/310 is 1/10230.