Greatest Common Factor of 7498/331, 5614/9005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7498/331, 5614/9005

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 7498/331,5614/9005

Given fractions are 7498/331,5614/9005

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 7498,5614

Greatest Common Factor of Numerators i.e. GCF of 7498,5614 is 2 .

LCM of Denominators means LCM of 331,9005 as per the given fractions.

LCM of 331,9005 is 2980655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7498,5614

GCF of Fractions 7498/331,5614/9005 is 2/2980655

2 7498, 5614
3749, 2807

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

Greatest Common Factor of 7498,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 7498,5614 By Matching Biggest Common Factor Method

Factors of 7498

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

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

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 7498,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 7498,5614 is 2.

Lets's calculate LCM of 331,9005

Given numbers has no common factors except 1. So, there LCM is their product i.e 2980655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2980655

Therefore, the GCF of Fractions 7498/331,5614/9005 is 2/2980655

Least Common Multiple of 331,9005 with GCF Formula

Least Common Multiple of 331,9005 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 331,9005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,9005) = 1

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

GCF(331,9005) x common factors =1 x 1 = 1

LCM(331,9005) = ( 331 × 9005 ) / 1

LCM(331,9005) = 2980655 / 1

LCM(331,9005) = 2980655


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 7498/331, 5614/9005

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 7498/331, 5614/9005?

Answer: GCF of Numerators as per given numbers 7498/331, 5614/9005 is

GCF of Numerators i.e. for 7498,5614 is 2

LCM of denominators i.e. for 331,9005 is 2980655.

Thus, GCF of Fractions is 2/2980655.Finally, GCF of Fractions for 7498/331, 5614/9005 is 2/2980655.