Greatest Common Factor of 7404/101, 8750/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7404/101, 8750/351

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 7404/101,8750/351

Given fractions are 7404/101,8750/351

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 7404,8750

Greatest Common Factor of Numerators i.e. GCF of 7404,8750 is 2 .

LCM of Denominators means LCM of 101,351 as per the given fractions.

LCM of 101,351 is 35451 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7404,8750

GCF of Fractions 7404/101,8750/351 is 2/35451

2 7404, 8750
3702, 4375

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7404,8750 By Matching Biggest Common Factor Method

Greatest Common Factor of 7404,8750 By Matching Biggest Common Factor Method

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Greatest Common Factor

We found the factors 7404,8750 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,8750 is 2.

Lets's calculate LCM of 101,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 35451

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35451

Therefore, the GCF of Fractions 7404/101,8750/351 is 2/35451

Least Common Multiple of 101,351 with GCF Formula

Least Common Multiple of 101,351 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 101,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,351) = 1

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

GCF(101,351) x common factors =1 x 1 = 1

LCM(101,351) = ( 101 × 351 ) / 1

LCM(101,351) = 35451 / 1

LCM(101,351) = 35451


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 7404/101, 8750/351

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 7404/101, 8750/351?

Answer: GCF of Numerators as per given numbers 7404/101, 8750/351 is

GCF of Numerators i.e. for 7404,8750 is 2

LCM of denominators i.e. for 101,351 is 35451.

Thus, GCF of Fractions is 2/35451.Finally, GCF of Fractions for 7404/101, 8750/351 is 2/35451.