Greatest Common Factor of 7500/75, 4002/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7500/75, 4002/417

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 7500/75,4002/417

Given fractions are 7500/75,4002/417

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 7500,4002

Greatest Common Factor of Numerators i.e. GCF of 7500,4002 is 6 .

LCM of Denominators means LCM of 75,417 as per the given fractions.

LCM of 75,417 is 10425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7500,4002

GCF of Fractions 7500/75,4002/417 is 6/10425

2 7500, 4002
3 3750, 2001
1250, 667

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7500,4002 By Matching Biggest Common Factor Method

Greatest Common Factor of 7500,4002 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 4002

List of positive integer factors of 4002 that divides 4002 without a remainder.

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Greatest Common Factor

We found the factors 7500,4002 . The biggest common factor number is the GCF number.
So the greatest common factor 7500,4002 is 6.

Lets's calculate LCM of 75,417

3 75, 417
25, 139

∴ So the LCM of the given numbers is 3 x 25 x 139 = 10425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10425

Therefore, the GCF of Fractions 7500/75,4002/417 is 6/10425

Least Common Multiple of 75,417 with GCF Formula

Least Common Multiple of 75,417 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 75,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,417) = 3

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

GCF(75,417) x common factors =3 x 1 = 3

LCM(75,417) = ( 75 × 417 ) / 3

LCM(75,417) = 31275 / 3

LCM(75,417) = 10425


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 7500/75, 4002/417

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 7500/75, 4002/417?

Answer: GCF of Numerators as per given numbers 7500/75, 4002/417 is

GCF of Numerators i.e. for 7500,4002 is 6

LCM of denominators i.e. for 75,417 is 10425.

Thus, GCF of Fractions is 6/10425.Finally, GCF of Fractions for 7500/75, 4002/417 is 6/10425.