Greatest Common Factor of 7414/331, 9013/6275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7414/331, 9013/6275

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 7414/331,9013/6275

Given fractions are 7414/331,9013/6275

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 7414,9013

Greatest Common Factor of Numerators i.e. GCF of 7414,9013 is 1 .

LCM of Denominators means LCM of 331,6275 as per the given fractions.

LCM of 331,6275 is 2077025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7414,9013

GCF of Fractions 7414/331,9013/6275 is 1/2077025

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

Greatest Common Factor of 7414,9013 By Matching Biggest Common Factor Method

Greatest Common Factor of 7414,9013 By Matching Biggest Common Factor Method

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Factors of 9013

List of positive integer factors of 9013 that divides 9013 without a remainder.

1,9013

Greatest Common Factor

We found the factors 7414,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 7414,9013 is 1.

Lets's calculate LCM of 331,6275

Given numbers has no common factors except 1. So, there LCM is their product i.e 2077025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2077025

Therefore, the GCF of Fractions 7414/331,9013/6275 is 1/2077025

Least Common Multiple of 331,6275 with GCF Formula

Least Common Multiple of 331,6275 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 331,6275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,6275) = 1

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

GCF(331,6275) x common factors =1 x 1 = 1

LCM(331,6275) = ( 331 × 6275 ) / 1

LCM(331,6275) = 2077025 / 1

LCM(331,6275) = 2077025


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 7414/331, 9013/6275

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 7414/331, 9013/6275?

Answer: GCF of Numerators as per given numbers 7414/331, 9013/6275 is

GCF of Numerators i.e. for 7414,9013 is 1

LCM of denominators i.e. for 331,6275 is 2077025.

Thus, GCF of Fractions is 1/2077025.Finally, GCF of Fractions for 7414/331, 9013/6275 is 1/2077025.